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Order Exponent Nilpotency class Nilpotent
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Min. degree of $\C$-irrep Min. degree of $\Q$-irrep Min. degree of $\C$-rep Min. degree of $\Q$-rep
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Results (45 matches)

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Label Name Order Exponent $\card{\mathrm{conj}(G)}$ Center Central quotient Commutator Abelianization Type - length
4.1 $C_4$ $2^{2}$ $2^{2}$ 4 $C_4$ $C_1$ $C_1$ $C_{4}$ Cyclic
4.2 $C_2^2$ $2^{2}$ $2$ 4 $C_2^2$ $C_1$ $C_1$ $C_{2}^{2}$ Abelian - 2
9.1 $C_9$ $3^{2}$ $3^{2}$ 9 $C_9$ $C_1$ $C_1$ $C_{9}$ Cyclic
9.2 $C_3^2$ $3^{2}$ $3$ 9 $C_3^2$ $C_1$ $C_1$ $C_{3}^{2}$ Abelian - 2
25.1 $C_{25}$ $5^{2}$ $5^{2}$ 25 $C_{25}$ $C_1$ $C_1$ $C_{25}$ Cyclic
25.2 $C_5^2$ $5^{2}$ $5$ 25 $C_5^2$ $C_1$ $C_1$ $C_{5}^{2}$ Abelian - 2
49.1 $C_{49}$ $7^{2}$ $7^{2}$ 49 $C_{49}$ $C_1$ $C_1$ $C_{49}$ Cyclic
49.2 $C_7^2$ $7^{2}$ $7$ 49 $C_7^2$ $C_1$ $C_1$ $C_{7}^{2}$ Abelian - 2
121.1 $C_{121}$ $11^{2}$ $11^{2}$ 121 $C_{121}$ $C_1$ $C_1$ $C_{121}$ Cyclic
121.2 $C_{11}^2$ $11^{2}$ $11$ 121 $C_{11}^2$ $C_1$ $C_1$ $C_{11}^{2}$ Abelian - 2
169.1 $C_{169}$ $13^{2}$ $13^{2}$ 169 $C_{169}$ $C_1$ $C_1$ $C_{169}$ Cyclic
169.2 $C_{13}^2$ $13^{2}$ $13$ 169 $C_{13}^2$ $C_1$ $C_1$ $C_{13}^{2}$ Abelian - 2
289.1 $C_{289}$ $17^{2}$ $17^{2}$ 289 $C_{289}$ $C_1$ $C_1$ $C_{289}$ Cyclic
289.2 $C_{17}^2$ $17^{2}$ $17$ 289 $C_{17}^2$ $C_1$ $C_1$ $C_{17}^{2}$ Abelian - 2
361.1 $C_{361}$ $19^{2}$ $19^{2}$ 361 $C_{361}$ $C_1$ $C_1$ $C_{361}$ Cyclic
361.2 $C_{19}^2$ $19^{2}$ $19$ 361 $C_{19}^2$ $C_1$ $C_1$ $C_{19}^{2}$ Abelian - 2
529.1 $C_{529}$ $23^{2}$ $23^{2}$ 529 $C_{529}$ $C_1$ $C_1$ $C_{529}$ Cyclic
529.2 $C_{23}^2$ $23^{2}$ $23$ 529 $C_{23}^2$ $C_1$ $C_1$ $C_{23}^{2}$ Abelian - 2
841.1 $C_{841}$ $29^{2}$ $29^{2}$ 841 $C_{841}$ $C_1$ $C_1$ $C_{841}$ Cyclic
841.2 $C_{29}^2$ $29^{2}$ $29$ 841 $C_{29}^2$ $C_1$ $C_1$ $C_{29}^{2}$ Abelian - 2
961.1 $C_{961}$ $31^{2}$ $31^{2}$ 961 $C_{961}$ $C_1$ $C_1$ $C_{961}$ Cyclic
961.2 $C_{31}^2$ $31^{2}$ $31$ 961 $C_{31}^2$ $C_1$ $C_1$ $C_{31}^{2}$ Abelian - 2
1369.1 $C_{1369}$ $37^{2}$ $37^{2}$ 1369 $C_{1369}$ $C_1$ $C_1$ $C_{1369}$ Cyclic
1369.2 $C_{37}^2$ $37^{2}$ $37$ 1369 $C_{37}^2$ $C_1$ $C_1$ $C_{37}^{2}$ Abelian - 2
1681.1 $C_{1681}$ $41^{2}$ $41^{2}$ 1681 $C_{1681}$ $C_1$ $C_1$ $C_{1681}$ Cyclic
1681.2 $C_{41}^2$ $41^{2}$ $41$ 1681 $C_{41}^2$ $C_1$ $C_1$ $C_{41}^{2}$ Abelian - 2
1849.1 $C_{1849}$ $43^{2}$ $43^{2}$ 1849 $C_{1849}$ $C_1$ $C_1$ $C_{1849}$ Cyclic
1849.2 $C_{43}^2$ $43^{2}$ $43$ 1849 $C_{43}^2$ $C_1$ $C_1$ $C_{43}^{2}$ Abelian - 2
2209.a $C_{47}^2$ $47^{2}$ $47$ 2209 $C_{47}^2$ $C_1$ $C_1$ $C_{47}^{2}$ Abelian - 2
2809.a $C_{53}^2$ $53^{2}$ $53$ 2809 $C_{53}^2$ $C_1$ $C_1$ $C_{53}^{2}$ Abelian - 2
3721.a $C_{61}^2$ $61^{2}$ $61$ 3721 $C_{61}^2$ $C_1$ $C_1$ $C_{61}^{2}$ Abelian - 2
4489.a $C_{67}^2$ $67^{2}$ $67$ 4489 $C_{67}^2$ $C_1$ $C_1$ $C_{67}^{2}$ Abelian - 2
5329.a $C_{73}^2$ $73^{2}$ $73$ 5329 $C_{73}^2$ $C_1$ $C_1$ $C_{73}^{2}$ Abelian - 2
6241.a $C_{79}^2$ $79^{2}$ $79$ 6241 $C_{79}^2$ $C_1$ $C_1$ $C_{79}^{2}$ Abelian - 2
6889.a $C_{83}^2$ $83^{2}$ $83$ 6889 $C_{83}^2$ $C_1$ $C_1$ $C_{83}^{2}$ Abelian - 2
7921.a $C_{89}^2$ $89^{2}$ $89$ 7921 $C_{89}^2$ $C_1$ $C_1$ $C_{89}^{2}$ Abelian - 2
9409.a $C_{97}^2$ $97^{2}$ $97$ 9409 $C_{97}^2$ $C_1$ $C_1$ $C_{97}^{2}$ Abelian - 2
12769.a $C_{113}^2$ $113^{2}$ $113$ 12769 $C_{113}^2$ $C_1$ $C_1$ $C_{113}^{2}$ Abelian - 2
16129.a $C_{127}^2$ $127^{2}$ $127$ 16129 $C_{127}^2$ $C_1$ $C_1$ $C_{127}^{2}$ Abelian - 2
17161.a $C_{131}^2$ $131^{2}$ $131$ 17161 $C_{131}^2$ $C_1$ $C_1$ $C_{131}^{2}$ Abelian - 2
29929.a $C_{173}^2$ $173^{2}$ $173$ 29929 $C_{173}^2$ $C_1$ $C_1$ $C_{173}^{2}$ Abelian - 2
32041.a $C_{179}^2$ $179^{2}$ $179$ 32041 $C_{179}^2$ $C_1$ $C_1$ $C_{179}^{2}$ Abelian - 2
36481.a $C_{191}^2$ $191^{2}$ $191$ 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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