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Label | Name | Order | Exponent | $\card{\mathrm{conj}(G)}$ | Center | Type - length |
---|---|---|---|---|---|---|
256.539 | $D_{128}$ | $2^{8}$ | $2^{7}$ | $67$ | $C_2$ | Nilpotent - 7 |
256.540 | $\SD_{256}$ | $2^{8}$ | $2^{7}$ | $67$ | $C_2$ | Nilpotent - 7 |
256.541 | $Q_{256}$ | $2^{8}$ | $2^{7}$ | $67$ | $C_2$ | Nilpotent - 7 |
512.2015 | $C_8^2.D_4$ | $2^{9}$ | $2^{4}$ | $32$ | $C_2$ | Nilpotent - 7 |
512.2016 | $C_8^2.D_4$ | $2^{9}$ | $2^{4}$ | $32$ | $C_2$ | Nilpotent - 7 |
512.2017 | $C_8^2.D_4$ | $2^{9}$ | $2^{4}$ | $32$ | $C_2$ | Nilpotent - 7 |
512.2018 | $C_8^2.D_4$ | $2^{9}$ | $2^{4}$ | $32$ | $C_2$ | Nilpotent - 7 |
512.2020 | $(C_8\times C_{16}):C_4$ | $2^{9}$ | $2^{4}$ | $41$ | $C_2$ | Nilpotent - 7 |
512.2021 | $(C_8\times C_{16}).C_4$ | $2^{9}$ | $2^{4}$ | $41$ | $C_2$ | Nilpotent - 7 |
512.2023 | $C_8^2.(C_2\times C_4)$ | $2^{9}$ | $2^{4}$ | $29$ | $C_2$ | Nilpotent - 7 |
512.2024 | $C_8^2.(C_2\times C_4)$ | $2^{9}$ | $2^{4}$ | $29$ | $C_2$ | Nilpotent - 7 |
512.2025 | $(C_8\times C_{16}):C_4$ | $2^{9}$ | $2^{4}$ | $41$ | $C_2$ | Nilpotent - 7 |
512.2026 | $C_8^2.(C_2\times C_4)$ | $2^{9}$ | $2^{4}$ | $29$ | $C_2$ | Nilpotent - 7 |
512.2028 | $D_{64}:C_4$ | $2^{9}$ | $2^{7}$ | $134$ | $C_2^2$ | Nilpotent - 7 |
512.2030 | $C_4.D_{64}$ | $2^{9}$ | $2^{7}$ | $134$ | $C_4$ | Nilpotent - 7 |
512.2031 | $D_{64}:C_4$ | $2^{9}$ | $2^{7}$ | $86$ | $C_2$ | Nilpotent - 7 |
512.2032 | $\OD_{256}:C_2$ | $2^{9}$ | $2^{7}$ | $86$ | $C_2$ | Nilpotent - 7 |
512.2038 | $C_{128}.C_4$ | $2^{9}$ | $2^{7}$ | $134$ | $C_4$ | Nilpotent - 7 |
512.60901 | $D_{128}:C_2$ | $2^{9}$ | $2^{7}$ | $134$ | $C_4$ | Nilpotent - 7 |
768.539 | $C_3\times D_{128}$ | $2^{8} \cdot 3$ | $2^{7} \cdot 3$ | $201$ | $C_6$ | Nilpotent - 7 |
768.541 | $C_3\times Q_{256}$ | $2^{8} \cdot 3$ | $2^{7} \cdot 3$ | $201$ | $C_6$ | Nilpotent - 7 |
1024.dco | $C_8.D_{64}$ | $2^{10}$ | $2^{7}$ | $268$ | $C_8$ | Nilpotent - 7 |
1024.dcq | $D_{128}:C_4$ | $2^{10}$ | $2^{7}$ | $268$ | $C_8$ | Nilpotent - 7 |
1024.dcr | $C_{128}.C_8$ | $2^{10}$ | $2^{7}$ | $268$ | $C_8$ | Nilpotent - 7 |
1024.ddc | $Q_{16}^2:C_2^2$ | $2^{10}$ | $2^{4}$ | $49$ | $C_2$ | Nilpotent - 7 |
1024.det | $(C_2^2\times C_4^2).\OD_{16}$ | $2^{10}$ | $2^{3}$ | $37$ | $C_2$ | Nilpotent - 7 |
1024.dfb | $C_2^6.\OD_{16}$ | $2^{10}$ | $2^{4}$ | $37$ | $C_2$ | Nilpotent - 7 |
1024.dfd | $C_2^6.\OD_{16}$ | $2^{10}$ | $2^{3}$ | $37$ | $C_2$ | Nilpotent - 7 |
1024.dfi | $C_2^7.C_8$ | $2^{10}$ | $2^{4}$ | $40$ | $C_2$ | Nilpotent - 7 |
1024.dgi | $C_2^7:C_8$ | $2^{10}$ | $2^{3}$ | $40$ | $C_2$ | Nilpotent - 7 |
1024.dgs | $(C_2\times C_4^3):C_8$ | $2^{10}$ | $2^{3}$ | $40$ | $C_2$ | Nilpotent - 7 |
1024.dhe | $C_2^6.\SD_{16}$ | $2^{10}$ | $2^{3}$ | $34$ | $C_2$ | Nilpotent - 7 |
1024.dhf | $C_2^6.D_8$ | $2^{10}$ | $2^{4}$ | $37$ | $C_2$ | Nilpotent - 7 |
1024.dhg | $C_2^6.\SD_{16}$ | $2^{10}$ | $2^{4}$ | $34$ | $C_2$ | Nilpotent - 7 |
1024.dhh | $C_2^4.C_2\wr C_4$ | $2^{10}$ | $2^{4}$ | $34$ | $C_2$ | Nilpotent - 7 |
1024.dhl | $(D_4\times C_2^3).Q_{16}$ | $2^{10}$ | $2^{3}$ | $34$ | $C_2$ | Nilpotent - 7 |
1024.dhm | $(C_2^2\times C_4^2).D_8$ | $2^{10}$ | $2^{3}$ | $37$ | $C_2$ | Nilpotent - 7 |
1024.dhr | $C_2^4.C_2\wr C_4$ | $2^{10}$ | $2^{3}$ | $34$ | $C_2$ | Nilpotent - 7 |
1024.dht | $C_2^4.C_2\wr C_4$ | $2^{10}$ | $2^{4}$ | $31$ | $C_2$ | Nilpotent - 7 |
1024.dhv | $C_2^6.D_8$ | $2^{10}$ | $2^{3}$ | $37$ | $C_2$ | Nilpotent - 7 |
1024.dhw | $C_2^4.C_2\wr C_4$ | $2^{10}$ | $2^{3}$ | $31$ | $C_2$ | Nilpotent - 7 |
1024.dig | $C_4^2.C_2\wr C_4$ | $2^{10}$ | $2^{4}$ | $40$ | $C_2$ | Nilpotent - 7 |
1024.dih | $C_4^2.C_2\wr C_4$ | $2^{10}$ | $2^{4}$ | $46$ | $C_2$ | Nilpotent - 7 |
1024.dii | $C_4:D_8.D_8$ | $2^{10}$ | $2^{4}$ | $43$ | $C_2$ | Nilpotent - 7 |
1024.dik | $(C_2\times C_8^2).D_4$ | $2^{10}$ | $2^{4}$ | $61$ | $C_4$ | Nilpotent - 7 |
1024.dil | $C_2^4.C_4^2:C_4$ | $2^{10}$ | $2^{3}$ | $37$ | $C_2$ | Nilpotent - 7 |
1024.dim | $C_2^4.C_2\wr C_4$ | $2^{10}$ | $2^{4}$ | $34$ | $C_2$ | Nilpotent - 7 |
1024.din | $(D_4\times C_2^3).D_8$ | $2^{10}$ | $2^{3}$ | $31$ | $C_2$ | Nilpotent - 7 |
1024.dll | $(C_2\times C_8^2).D_4$ | $2^{10}$ | $2^{4}$ | $61$ | $C_2^2$ | Nilpotent - 7 |
1024.dlm | $C_4^2.C_2\wr C_4$ | $2^{10}$ | $2^{4}$ | $58$ | $C_2^2$ | Nilpotent - 7 |