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Results (1-50 of 2607 matches)

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Label Name Order Exponent $\card{\mathrm{conj}(G)}$ Center Central quotient Commutator Abelianization Type - length
6.1 $S_3$ $2 \cdot 3$ $2 \cdot 3$ $3$ $C_1$ $S_3$ $C_3$ $C_{2}$ Solvable - 2
10.1 $D_5$ $2 \cdot 5$ $2 \cdot 5$ $4$ $C_1$ $D_5$ $C_5$ $C_{2}$ Solvable - 2
14.1 $D_7$ $2 \cdot 7$ $2 \cdot 7$ $5$ $C_1$ $D_7$ $C_7$ $C_{2}$ Solvable - 2
21.1 $C_7:C_3$ $3 \cdot 7$ $3 \cdot 7$ $5$ $C_1$ $C_7:C_3$ $C_7$ $C_{3}$ Solvable - 2
22.1 $D_{11}$ $2 \cdot 11$ $2 \cdot 11$ $7$ $C_1$ $D_{11}$ $C_{11}$ $C_{2}$ Solvable - 2
26.1 $D_{13}$ $2 \cdot 13$ $2 \cdot 13$ $8$ $C_1$ $D_{13}$ $C_{13}$ $C_{2}$ Solvable - 2
30.1 $C_5\times S_3$ $2 \cdot 3 \cdot 5$ $2 \cdot 3 \cdot 5$ $15$ $C_5$ $S_3$ $C_3$ $C_{10}$ Solvable - 2
30.2 $C_3\times D_5$ $2 \cdot 3 \cdot 5$ $2 \cdot 3 \cdot 5$ $12$ $C_3$ $D_5$ $C_5$ $C_{6}$ Solvable - 2
30.3 $D_{15}$ $2 \cdot 3 \cdot 5$ $2 \cdot 3 \cdot 5$ $9$ $C_1$ $D_{15}$ $C_{15}$ $C_{2}$ Solvable - 2
34.1 $D_{17}$ $2 \cdot 17$ $2 \cdot 17$ $10$ $C_1$ $D_{17}$ $C_{17}$ $C_{2}$ Solvable - 2
38.1 $D_{19}$ $2 \cdot 19$ $2 \cdot 19$ $11$ $C_1$ $D_{19}$ $C_{19}$ $C_{2}$ Solvable - 2
39.1 $C_{13}:C_3$ $3 \cdot 13$ $3 \cdot 13$ $7$ $C_1$ $C_{13}:C_3$ $C_{13}$ $C_{3}$ Solvable - 2
42.1 $F_7$ $2 \cdot 3 \cdot 7$ $2 \cdot 3 \cdot 7$ $7$ $C_1$ $F_7$ $C_7$ $C_{6}$ Solvable - 2
42.2 $C_7:C_6$ $2 \cdot 3 \cdot 7$ $2 \cdot 3 \cdot 7$ $10$ $C_2$ $C_7:C_3$ $C_7$ $C_{6}$ Solvable - 2
42.3 $S_3\times C_7$ $2 \cdot 3 \cdot 7$ $2 \cdot 3 \cdot 7$ $21$ $C_7$ $S_3$ $C_3$ $C_{14}$ Solvable - 2
42.4 $C_3\times D_7$ $2 \cdot 3 \cdot 7$ $2 \cdot 3 \cdot 7$ $15$ $C_3$ $D_7$ $C_7$ $C_{6}$ Solvable - 2
42.5 $D_{21}$ $2 \cdot 3 \cdot 7$ $2 \cdot 3 \cdot 7$ $12$ $C_1$ $D_{21}$ $C_{21}$ $C_{2}$ Solvable - 2
46.1 $D_{23}$ $2 \cdot 23$ $2 \cdot 23$ $13$ $C_1$ $D_{23}$ $C_{23}$ $C_{2}$ Solvable - 2
55.1 $C_{11}:C_5$ $5 \cdot 11$ $5 \cdot 11$ $7$ $C_1$ $C_{11}:C_5$ $C_{11}$ $C_{5}$ Solvable - 2
57.1 $C_{19}:C_3$ $3 \cdot 19$ $3 \cdot 19$ $9$ $C_1$ $C_{19}:C_3$ $C_{19}$ $C_{3}$ Solvable - 2
58.1 $D_{29}$ $2 \cdot 29$ $2 \cdot 29$ $16$ $C_1$ $D_{29}$ $C_{29}$ $C_{2}$ Solvable - 2
62.1 $D_{31}$ $2 \cdot 31$ $2 \cdot 31$ $17$ $C_1$ $D_{31}$ $C_{31}$ $C_{2}$ Solvable - 2
66.1 $S_3\times C_{11}$ $2 \cdot 3 \cdot 11$ $2 \cdot 3 \cdot 11$ $33$ $C_{11}$ $S_3$ $C_3$ $C_{22}$ Solvable - 2
66.2 $C_3\times D_{11}$ $2 \cdot 3 \cdot 11$ $2 \cdot 3 \cdot 11$ $21$ $C_3$ $D_{11}$ $C_{11}$ $C_{6}$ Solvable - 2
66.3 $D_{33}$ $2 \cdot 3 \cdot 11$ $2 \cdot 3 \cdot 11$ $18$ $C_1$ $D_{33}$ $C_{33}$ $C_{2}$ Solvable - 2
70.1 $C_7\times D_5$ $2 \cdot 5 \cdot 7$ $2 \cdot 5 \cdot 7$ $28$ $C_7$ $D_5$ $C_5$ $C_{14}$ Solvable - 2
70.2 $C_5\times D_7$ $2 \cdot 5 \cdot 7$ $2 \cdot 5 \cdot 7$ $25$ $C_5$ $D_7$ $C_7$ $C_{10}$ Solvable - 2
70.3 $D_{35}$ $2 \cdot 5 \cdot 7$ $2 \cdot 5 \cdot 7$ $19$ $C_1$ $D_{35}$ $C_{35}$ $C_{2}$ Solvable - 2
74.1 $D_{37}$ $2 \cdot 37$ $2 \cdot 37$ $20$ $C_1$ $D_{37}$ $C_{37}$ $C_{2}$ Solvable - 2
78.1 $C_{13}:C_6$ $2 \cdot 3 \cdot 13$ $2 \cdot 3 \cdot 13$ $8$ $C_1$ $C_{13}:C_6$ $C_{13}$ $C_{6}$ Solvable - 2
78.2 $C_{13}:C_6$ $2 \cdot 3 \cdot 13$ $2 \cdot 3 \cdot 13$ $14$ $C_2$ $C_{13}:C_3$ $C_{13}$ $C_{6}$ Solvable - 2
78.3 $S_3\times C_{13}$ $2 \cdot 3 \cdot 13$ $2 \cdot 3 \cdot 13$ $39$ $C_{13}$ $S_3$ $C_3$ $C_{26}$ Solvable - 2
78.4 $C_3\times D_{13}$ $2 \cdot 3 \cdot 13$ $2 \cdot 3 \cdot 13$ $24$ $C_3$ $D_{13}$ $C_{13}$ $C_{6}$ Solvable - 2
78.5 $D_{39}$ $2 \cdot 3 \cdot 13$ $2 \cdot 3 \cdot 13$ $21$ $C_1$ $D_{39}$ $C_{39}$ $C_{2}$ Solvable - 2
82.1 $D_{41}$ $2 \cdot 41$ $2 \cdot 41$ $22$ $C_1$ $D_{41}$ $C_{41}$ $C_{2}$ Solvable - 2
86.1 $D_{43}$ $2 \cdot 43$ $2 \cdot 43$ $23$ $C_1$ $D_{43}$ $C_{43}$ $C_{2}$ Solvable - 2
93.1 $C_{31}:C_3$ $3 \cdot 31$ $3 \cdot 31$ $13$ $C_1$ $C_{31}:C_3$ $C_{31}$ $C_{3}$ Solvable - 2
94.1 $D_{47}$ $2 \cdot 47$ $2 \cdot 47$ $25$ $C_1$ $D_{47}$ $C_{47}$ $C_{2}$ Solvable - 2
102.1 $S_3\times C_{17}$ $2 \cdot 3 \cdot 17$ $2 \cdot 3 \cdot 17$ $51$ $C_{17}$ $S_3$ $C_3$ $C_{34}$ Solvable - 2
102.2 $C_3\times D_{17}$ $2 \cdot 3 \cdot 17$ $2 \cdot 3 \cdot 17$ $30$ $C_3$ $D_{17}$ $C_{17}$ $C_{6}$ Solvable - 2
102.3 $D_{51}$ $2 \cdot 3 \cdot 17$ $2 \cdot 3 \cdot 17$ $27$ $C_1$ $D_{51}$ $C_{51}$ $C_{2}$ Solvable - 2
105.1 $C_7:C_{15}$ $3 \cdot 5 \cdot 7$ $3 \cdot 5 \cdot 7$ $25$ $C_5$ $C_7:C_3$ $C_7$ $C_{15}$ Solvable - 2
106.1 $D_{53}$ $2 \cdot 53$ $2 \cdot 53$ $28$ $C_1$ $D_{53}$ $C_{53}$ $C_{2}$ Solvable - 2
110.1 $F_{11}$ $2 \cdot 5 \cdot 11$ $2 \cdot 5 \cdot 11$ $11$ $C_1$ $F_{11}$ $C_{11}$ $C_{10}$ Solvable - 2
110.2 $C_{11}:C_{10}$ $2 \cdot 5 \cdot 11$ $2 \cdot 5 \cdot 11$ $14$ $C_2$ $C_{11}:C_5$ $C_{11}$ $C_{10}$ Solvable - 2
110.3 $D_5\times C_{11}$ $2 \cdot 5 \cdot 11$ $2 \cdot 5 \cdot 11$ $44$ $C_{11}$ $D_5$ $C_5$ $C_{22}$ Solvable - 2
110.4 $C_5\times D_{11}$ $2 \cdot 5 \cdot 11$ $2 \cdot 5 \cdot 11$ $35$ $C_5$ $D_{11}$ $C_{11}$ $C_{10}$ 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
111.1 $C_{37}:C_3$ $3 \cdot 37$ $3 \cdot 37$ $15$ $C_1$ $C_{37}:C_3$ $C_{37}$ $C_{3}$ Solvable - 2
114.1 $C_{19}:C_6$ $2 \cdot 3 \cdot 19$ $2 \cdot 3 \cdot 19$ $9$ $C_1$ $C_{19}:C_6$ $C_{19}$ $C_{6}$ Solvable - 2
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