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Order Exponent Nilpotency class Nilpotent
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Results (31 matches)

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Label Name Order Exponent $\card{\mathrm{conj}(G)}$ Center Central quotient Commutator Abelianization Type - length
4.2 $C_2^2$ $2^{2}$ $2$ $4$ $C_2^2$ $C_1$ $C_1$ $C_{2}^{2}$ Abelian - 2
9.2 $C_3^2$ $3^{2}$ $3$ $9$ $C_3^2$ $C_1$ $C_1$ $C_{3}^{2}$ Abelian - 2
25.2 $C_5^2$ $5^{2}$ $5$ $25$ $C_5^2$ $C_1$ $C_1$ $C_{5}^{2}$ Abelian - 2
49.2 $C_7^2$ $7^{2}$ $7$ $49$ $C_7^2$ $C_1$ $C_1$ $C_{7}^{2}$ Abelian - 2
121.2 $C_{11}^2$ $11^{2}$ $11$ $121$ $C_{11}^2$ $C_1$ $C_1$ $C_{11}^{2}$ Abelian - 2
169.2 $C_{13}^2$ $13^{2}$ $13$ $169$ $C_{13}^2$ $C_1$ $C_1$ $C_{13}^{2}$ Abelian - 2
289.2 $C_{17}^2$ $17^{2}$ $17$ $289$ $C_{17}^2$ $C_1$ $C_1$ $C_{17}^{2}$ Abelian - 2
361.2 $C_{19}^2$ $19^{2}$ $19$ $361$ $C_{19}^2$ $C_1$ $C_1$ $C_{19}^{2}$ Abelian - 2
529.2 $C_{23}^2$ $23^{2}$ $23$ $529$ $C_{23}^2$ $C_1$ $C_1$ $C_{23}^{2}$ Abelian - 2
841.2 $C_{29}^2$ $29^{2}$ $29$ $841$ $C_{29}^2$ $C_1$ $C_1$ $C_{29}^{2}$ Abelian - 2
961.2 $C_{31}^2$ $31^{2}$ $31$ $961$ $C_{31}^2$ $C_1$ $C_1$ $C_{31}^{2}$ Abelian - 2
1369.2 $C_{37}^2$ $37^{2}$ $37$ $1369$ $C_{37}^2$ $C_1$ $C_1$ $C_{37}^{2}$ Abelian - 2
1681.2 $C_{41}^2$ $41^{2}$ $41$ $1681$ $C_{41}^2$ $C_1$ $C_1$ $C_{41}^{2}$ Abelian - 2
1849.2 $C_{43}^2$ $43^{2}$ $43$ $1849$ $C_{43}^2$ $C_1$ $C_1$ $C_{43}^{2}$ Abelian - 2
2209.2 $C_{47}^2$ $47^{2}$ $47$ $2209$ $C_{47}^2$ $C_1$ $C_1$ $C_{47}^{2}$ Abelian - 2
2809.2 $C_{53}^2$ $53^{2}$ $53$ $2809$ $C_{53}^2$ $C_1$ $C_1$ $C_{53}^{2}$ Abelian - 2
3721.2 $C_{61}^2$ $61^{2}$ $61$ $3721$ $C_{61}^2$ $C_1$ $C_1$ $C_{61}^{2}$ Abelian - 2
4489.2 $C_{67}^2$ $67^{2}$ $67$ $4489$ $C_{67}^2$ $C_1$ $C_1$ $C_{67}^{2}$ Abelian - 2
5329.2 $C_{73}^2$ $73^{2}$ $73$ $5329$ $C_{73}^2$ $C_1$ $C_1$ $C_{73}^{2}$ Abelian - 2
6241.2 $C_{79}^2$ $79^{2}$ $79$ $6241$ $C_{79}^2$ $C_1$ $C_1$ $C_{79}^{2}$ Abelian - 2
6889.2 $C_{83}^2$ $83^{2}$ $83$ $6889$ $C_{83}^2$ $C_1$ $C_1$ $C_{83}^{2}$ Abelian - 2
7921.2 $C_{89}^2$ $89^{2}$ $89$ $7921$ $C_{89}^2$ $C_1$ $C_1$ $C_{89}^{2}$ Abelian - 2
9409.2 $C_{97}^2$ $97^{2}$ $97$ $9409$ $C_{97}^2$ $C_1$ $C_1$ $C_{97}^{2}$ Abelian - 2
12769.2 $C_{113}^2$ $113^{2}$ $113$ $12769$ $C_{113}^2$ $C_1$ $C_1$ $C_{113}^{2}$ Abelian - 2
16129.2 $C_{127}^2$ $127^{2}$ $127$ $16129$ $C_{127}^2$ $C_1$ $C_1$ $C_{127}^{2}$ Abelian - 2
17161.2 $C_{131}^2$ $131^{2}$ $131$ $17161$ $C_{131}^2$ $C_1$ $C_1$ $C_{131}^{2}$ Abelian - 2
29929.2 $C_{173}^2$ $173^{2}$ $173$ $29929$ $C_{173}^2$ $C_1$ $C_1$ $C_{173}^{2}$ Abelian - 2
32041.2 $C_{179}^2$ $179^{2}$ $179$ $32041$ $C_{179}^2$ $C_1$ $C_1$ $C_{179}^{2}$ Abelian - 2
36481.2 $C_{191}^2$ $191^{2}$ $191$ $36481$ $C_{191}^2$ $C_1$ $C_1$ $C_{191}^{2}$ Abelian - 2
54289.2 $C_{233}^2$ $233^{2}$ $233$ $54289$ $C_{233}^2$ $C_1$ $C_1$ $C_{233}^{2}$ Abelian - 2
57121.2 $C_{239}^2$ $239^{2}$ $239$ $57121$ $C_{239}^2$ $C_1$ $C_1$ $C_{239}^{2}$ Abelian - 2
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