Learn more

Note: Search results may be incomplete due to uncomputed quantities: Automorphism group order (4830 objects)

Refine search


Results (1-50 of 343 matches)

Next   displayed columns for results
Label Name Order Exponent $\card{\mathrm{conj}(G)}$ Center Central quotient Commutator Abelianization Type - length
94.1 $D_{47}$ $2 \cdot 47$ $2 \cdot 47$ $25$ $C_1$ $D_{47}$ $C_{47}$ $C_{2}$ Solvable - 2
106.1 $D_{53}$ $2 \cdot 53$ $2 \cdot 53$ $28$ $C_1$ $D_{53}$ $C_{53}$ $C_{2}$ Solvable - 2
110.5 $D_{55}$ $2 \cdot 5 \cdot 11$ $2 \cdot 5 \cdot 11$ $29$ $C_1$ $D_{55}$ $C_{55}$ $C_{2}$ Solvable - 2
114.5 $D_{57}$ $2 \cdot 3 \cdot 19$ $2 \cdot 3 \cdot 19$ $30$ $C_1$ $D_{57}$ $C_{57}$ $C_{2}$ Solvable - 2
118.1 $D_{59}$ $2 \cdot 59$ $2 \cdot 59$ $31$ $C_1$ $D_{59}$ $C_{59}$ $C_{2}$ Solvable - 2
122.1 $D_{61}$ $2 \cdot 61$ $2 \cdot 61$ $32$ $C_1$ $D_{61}$ $C_{61}$ $C_{2}$ Solvable - 2
130.3 $D_{65}$ $2 \cdot 5 \cdot 13$ $2 \cdot 5 \cdot 13$ $34$ $C_1$ $D_{65}$ $C_{65}$ $C_{2}$ Solvable - 2
134.1 $D_{67}$ $2 \cdot 67$ $2 \cdot 67$ $35$ $C_1$ $D_{67}$ $C_{67}$ $C_{2}$ Solvable - 2
138.3 $D_{69}$ $2 \cdot 3 \cdot 23$ $2 \cdot 3 \cdot 23$ $36$ $C_1$ $D_{69}$ $C_{69}$ $C_{2}$ Solvable - 2
142.1 $D_{71}$ $2 \cdot 71$ $2 \cdot 71$ $37$ $C_1$ $D_{71}$ $C_{71}$ $C_{2}$ Solvable - 2
146.1 $D_{73}$ $2 \cdot 73$ $2 \cdot 73$ $38$ $C_1$ $D_{73}$ $C_{73}$ $C_{2}$ Solvable - 2
154.3 $D_{77}$ $2 \cdot 7 \cdot 11$ $2 \cdot 7 \cdot 11$ $40$ $C_1$ $D_{77}$ $C_{77}$ $C_{2}$ Solvable - 2
158.1 $D_{79}$ $2 \cdot 79$ $2 \cdot 79$ $41$ $C_1$ $D_{79}$ $C_{79}$ $C_{2}$ Solvable - 2
166.1 $D_{83}$ $2 \cdot 83$ $2 \cdot 83$ $43$ $C_1$ $D_{83}$ $C_{83}$ $C_{2}$ Solvable - 2
170.3 $D_{85}$ $2 \cdot 5 \cdot 17$ $2 \cdot 5 \cdot 17$ $44$ $C_1$ $D_{85}$ $C_{85}$ $C_{2}$ Solvable - 2
174.3 $D_{87}$ $2 \cdot 3 \cdot 29$ $2 \cdot 3 \cdot 29$ $45$ $C_1$ $D_{87}$ $C_{87}$ $C_{2}$ Solvable - 2
178.1 $D_{89}$ $2 \cdot 89$ $2 \cdot 89$ $46$ $C_1$ $D_{89}$ $C_{89}$ $C_{2}$ Solvable - 2
182.3 $D_{91}$ $2 \cdot 7 \cdot 13$ $2 \cdot 7 \cdot 13$ $47$ $C_1$ $D_{91}$ $C_{91}$ $C_{2}$ Solvable - 2
183.1 $C_{61}:C_3$ $3 \cdot 61$ $3 \cdot 61$ $23$ $C_1$ $C_{61}:C_3$ $C_{61}$ $C_{3}$ Solvable - 2
186.5 $D_{93}$ $2 \cdot 3 \cdot 31$ $2 \cdot 3 \cdot 31$ $48$ $C_1$ $D_{93}$ $C_{93}$ $C_{2}$ Solvable - 2
190.3 $D_{95}$ $2 \cdot 5 \cdot 19$ $2 \cdot 5 \cdot 19$ $49$ $C_1$ $D_{95}$ $C_{95}$ $C_{2}$ Solvable - 2
201.1 $C_{67}:C_3$ $3 \cdot 67$ $3 \cdot 67$ $25$ $C_1$ $C_{67}:C_3$ $C_{67}$ $C_{3}$ Solvable - 2
210.11 $D_{105}$ $2 \cdot 3 \cdot 5 \cdot 7$ $2 \cdot 3 \cdot 5 \cdot 7$ $54$ $C_1$ $D_{105}$ $C_{105}$ $C_{2}$ Solvable - 2
219.1 $C_{73}:C_3$ $3 \cdot 73$ $3 \cdot 73$ $27$ $C_1$ $C_{73}:C_3$ $C_{73}$ $C_{3}$ Solvable - 2
222.4 $C_3\times D_{37}$ $2 \cdot 3 \cdot 37$ $2 \cdot 3 \cdot 37$ $60$ $C_3$ $D_{37}$ $C_{37}$ $C_{6}$ Solvable - 2
222.5 $D_{111}$ $2 \cdot 3 \cdot 37$ $2 \cdot 3 \cdot 37$ $57$ $C_1$ $D_{111}$ $C_{111}$ $C_{2}$ Solvable - 2
237.1 $C_{79}:C_3$ $3 \cdot 79$ $3 \cdot 79$ $29$ $C_1$ $C_{79}:C_3$ $C_{79}$ $C_{3}$ Solvable - 2
246.2 $C_3\times D_{41}$ $2 \cdot 3 \cdot 41$ $2 \cdot 3 \cdot 41$ $66$ $C_3$ $D_{41}$ $C_{41}$ $C_{6}$ Solvable - 2
258.4 $C_3\times D_{43}$ $2 \cdot 3 \cdot 43$ $2 \cdot 3 \cdot 43$ $69$ $C_3$ $D_{43}$ $C_{43}$ $C_{6}$ Solvable - 2
266.2 $C_7\times D_{19}$ $2 \cdot 7 \cdot 19$ $2 \cdot 7 \cdot 19$ $77$ $C_7$ $D_{19}$ $C_{19}$ $C_{14}$ Solvable - 2
273.3 $C_{91}:C_3$ $3 \cdot 7 \cdot 13$ $3 \cdot 7 \cdot 13$ $33$ $C_1$ $C_{91}:C_3$ $C_{91}$ $C_{3}$ Solvable - 2
273.4 $C_{91}:C_3$ $3 \cdot 7 \cdot 13$ $3 \cdot 7 \cdot 13$ $33$ $C_1$ $C_{91}:C_3$ $C_{91}$ $C_{3}$ Solvable - 2
282.2 $C_3\times D_{47}$ $2 \cdot 3 \cdot 47$ $2 \cdot 3 \cdot 47$ $75$ $C_3$ $D_{47}$ $C_{47}$ $C_{6}$ Solvable - 2
290.2 $C_5\times D_{29}$ $2 \cdot 5 \cdot 29$ $2 \cdot 5 \cdot 29$ $80$ $C_5$ $D_{29}$ $C_{29}$ $C_{10}$ Solvable - 2
305.1 $C_{61}:C_5$ $5 \cdot 61$ $5 \cdot 61$ $17$ $C_1$ $C_{61}:C_5$ $C_{61}$ $C_{5}$ Solvable - 2
310.4 $C_5\times D_{31}$ $2 \cdot 5 \cdot 31$ $2 \cdot 5 \cdot 31$ $85$ $C_5$ $D_{31}$ $C_{31}$ $C_{10}$ Solvable - 2
318.2 $C_3\times D_{53}$ $2 \cdot 3 \cdot 53$ $2 \cdot 3 \cdot 53$ $84$ $C_3$ $D_{53}$ $C_{53}$ $C_{6}$ Solvable - 2
322.2 $C_7\times D_{23}$ $2 \cdot 7 \cdot 23$ $2 \cdot 7 \cdot 23$ $91$ $C_7$ $D_{23}$ $C_{23}$ $C_{14}$ Solvable - 2
330.7 $C_3\times D_{55}$ $2 \cdot 3 \cdot 5 \cdot 11$ $2 \cdot 3 \cdot 5 \cdot 11$ $87$ $C_3$ $D_{55}$ $C_{55}$ $C_{6}$ Solvable - 2
330.9 $C_5\times D_{33}$ $2 \cdot 3 \cdot 5 \cdot 11$ $2 \cdot 3 \cdot 5 \cdot 11$ $90$ $C_5$ $D_{33}$ $C_{33}$ $C_{10}$ Solvable - 2
354.2 $C_3\times D_{59}$ $2 \cdot 3 \cdot 59$ $2 \cdot 3 \cdot 59$ $93$ $C_3$ $D_{59}$ $C_{59}$ $C_{6}$ Solvable - 2
355.1 $C_{71}:C_5$ $5 \cdot 71$ $5 \cdot 71$ $19$ $C_1$ $C_{71}:C_5$ $C_{71}$ $C_{5}$ Solvable - 2
366.1 $C_{61}:C_6$ $2 \cdot 3 \cdot 61$ $2 \cdot 3 \cdot 61$ $16$ $C_1$ $C_{61}:C_6$ $C_{61}$ $C_{6}$ Solvable - 2
366.2 $C_{122}:C_3$ $2 \cdot 3 \cdot 61$ $2 \cdot 3 \cdot 61$ $46$ $C_2$ $C_{61}:C_3$ $C_{61}$ $C_{6}$ Solvable - 2
366.4 $C_3\times D_{61}$ $2 \cdot 3 \cdot 61$ $2 \cdot 3 \cdot 61$ $96$ $C_3$ $D_{61}$ $C_{61}$ $C_{6}$ Solvable - 2
370.2 $C_5\times D_{37}$ $2 \cdot 5 \cdot 37$ $2 \cdot 5 \cdot 37$ $100$ $C_5$ $D_{37}$ $C_{37}$ $C_{10}$ Solvable - 2
374.2 $C_{11}\times D_{17}$ $2 \cdot 11 \cdot 17$ $2 \cdot 11 \cdot 17$ $110$ $C_{11}$ $D_{17}$ $C_{17}$ $C_{22}$ Solvable - 2
390.2 $C_{65}:C_6$ $2 \cdot 3 \cdot 5 \cdot 13$ $2 \cdot 3 \cdot 5 \cdot 13$ $28$ $C_1$ $C_{65}:C_6$ $C_{65}$ $C_{6}$ Solvable - 2
390.3 $C_{65}:C_6$ $2 \cdot 3 \cdot 5 \cdot 13$ $2 \cdot 3 \cdot 5 \cdot 13$ $22$ $C_1$ $C_{65}:C_6$ $C_{65}$ $C_{6}$ Solvable - 2
390.7 $C_3\times D_{65}$ $2 \cdot 3 \cdot 5 \cdot 13$ $2 \cdot 3 \cdot 5 \cdot 13$ $102$ $C_3$ $D_{65}$ $C_{65}$ $C_{6}$ Solvable - 2
Next   displayed columns for results