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Results (5 matches)

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Label Name Order Exponent $\card{\mathrm{conj}(G)}$ Center Central quotient Commutator Abelianization Type - length
1920.2328 $C_2^6\times C_{30}$ $2^{7} \cdot 3 \cdot 5$ $2 \cdot 3 \cdot 5$ $1920$ $C_2^6\times C_{30}$ $C_1$ $C_1$ $C_{2}^{6} \times C_{30}$ Abelian - 7
2688.ei $F_7\times C_2^6$ $2^{7} \cdot 3 \cdot 7$ $2 \cdot 3 \cdot 7$ $448$ $C_2^6$ $F_7$ $C_7$ $C_{2}^{6} \times C_{6}$ Solvable - 2
6528.a $C_2^6\times C_{102}$ $2^{7} \cdot 3 \cdot 17$ $2 \cdot 3 \cdot 17$ $6528$ $C_2^6\times C_{102}$ $C_1$ $C_1$ $C_{2}^{6} \times C_{102}$ Abelian - 7
10880.a $C_2^6\times C_{170}$ $2^{7} \cdot 5 \cdot 17$ $2 \cdot 5 \cdot 17$ $10880$ $C_2^6\times C_{170}$ $C_1$ $C_1$ $C_{2}^{6} \times C_{170}$ Abelian - 7
32640.a $C_2^6\times C_{510}$ $2^{7} \cdot 3 \cdot 5 \cdot 17$ $2 \cdot 3 \cdot 5 \cdot 17$ $32640$ $C_2^6\times C_{510}$ $C_1$ $C_1$ $C_{2}^{6} \times C_{510}$ Abelian - 7
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