Refine search
Label | Name | Order | Exponent | $\card{\mathrm{conj}(G)}$ | Center | Type - length |
---|---|---|---|---|---|---|
512.2042 | $D_{256}$ | $2^{9}$ | $2^{8}$ | $131$ | $C_2$ | Nilpotent - 8 |
512.2043 | $\SD_{512}$ | $2^{9}$ | $2^{8}$ | $131$ | $C_2$ | Nilpotent - 8 |
512.2044 | $Q_{512}$ | $2^{9}$ | $2^{8}$ | $131$ | $C_2$ | Nilpotent - 8 |
1024.dcs | $C_4.D_{128}$ | $2^{10}$ | $2^{8}$ | $262$ | $C_4$ | Nilpotent - 8 |
1024.dct | $C_{256}.C_4$ | $2^{10}$ | $2^{8}$ | $262$ | $C_4$ | Nilpotent - 8 |
1024.dcv | $C_4.D_{128}$ | $2^{10}$ | $2^{8}$ | $262$ | $C_4$ | Nilpotent - 8 |
1024.dif | $C_{16}:C_{16}:C_4$ | $2^{10}$ | $2^{4}$ | $49$ | $C_2$ | Nilpotent - 8 |
1536.2043 | $C_3\times \SD_{512}$ | $2^{9} \cdot 3$ | $2^{8} \cdot 3$ | $393$ | $C_6$ | Nilpotent - 8 |
2048.cla | $C_8.D_{128}$ | $2^{11}$ | $2^{8}$ | $524$ | $C_8$ | Nilpotent - 8 |
2048.clb | $C_{256}.C_8$ | $2^{11}$ | $2^{8}$ | $524$ | $C_8$ | Nilpotent - 8 |
2048.clf | $C_8.D_{128}$ | $2^{11}$ | $2^{8}$ | $524$ | $C_8$ | Nilpotent - 8 |
2048.cmf | $C_2\wr C_8$ | $2^{11}$ | $2^{4}$ | $56$ | $C_2$ | Nilpotent - 8 |
2048.cmx | $(C_2^2\times D_4^2):C_8$ | $2^{11}$ | $2^{3}$ | $44$ | $C_2$ | Nilpotent - 8 |
2048.cnj | $C_2^5.C_2\wr C_4$ | $2^{11}$ | $2^{4}$ | $44$ | $C_2$ | Nilpotent - 8 |
2048.cnk | $C_2^7.\OD_{16}$ | $2^{11}$ | $2^{4}$ | $44$ | $C_2$ | Nilpotent - 8 |
2048.cnn | $C_2^5.C_2\wr C_4$ | $2^{11}$ | $2^{3}$ | $44$ | $C_2$ | Nilpotent - 8 |
2048.cns | $C_4^4:C_8$ | $2^{11}$ | $2^{3}$ | $56$ | $C_2$ | Nilpotent - 8 |
2048.cof | $(C_2\times C_4^3).D_8$ | $2^{11}$ | $2^{3}$ | $47$ | $C_2$ | Nilpotent - 8 |
2048.cog | $(C_2\times C_4^3).\SD_{16}$ | $2^{11}$ | $2^{3}$ | $41$ | $C_2$ | Nilpotent - 8 |
2048.cou | $C_2^7.\SD_{16}$ | $2^{11}$ | $2^{3}$ | $41$ | $C_2$ | Nilpotent - 8 |
2048.cow | $C_2^7.D_8$ | $2^{11}$ | $2^{4}$ | $47$ | $C_2$ | Nilpotent - 8 |
2048.coz | $C_2^7.\SD_{16}$ | $2^{11}$ | $2^{4}$ | $41$ | $C_2$ | Nilpotent - 8 |
2048.cpc | $C_2^7.D_8$ | $2^{11}$ | $2^{3}$ | $47$ | $C_2$ | Nilpotent - 8 |
3584.c | $C_7\times \SD_{512}$ | $2^{9} \cdot 7$ | $2^{8} \cdot 7$ | $917$ | $C_{14}$ | Nilpotent - 8 |
4096.bnx | $C_{16}.D_{128}$ | $2^{12}$ | $2^{8}$ | $1048$ | $C_{16}$ | Nilpotent - 8 |
4096.bny | $C_{256}.C_{16}$ | $2^{12}$ | $2^{8}$ | $1048$ | $C_{16}$ | Nilpotent - 8 |
4096.bod | $C_{16}.D_{128}$ | $2^{12}$ | $2^{8}$ | $1048$ | $C_{16}$ | Nilpotent - 8 |
4096.bon | $C_2^6.C_2\wr C_4$ | $2^{12}$ | $2^{4}$ | $64$ | $C_2$ | Nilpotent - 8 |
4096.bpd | $C_2^6.C_2\wr C_4$ | $2^{12}$ | $2^{4}$ | $61$ | $C_2$ | Nilpotent - 8 |
4096.bpj | $C_4^4:\OD_{16}$ | $2^{12}$ | $2^{3}$ | $73$ | $C_2$ | Nilpotent - 8 |
4096.bpl | $C_2\wr \OD_{16}$ | $2^{12}$ | $2^{4}$ | $73$ | $C_2$ | Nilpotent - 8 |
4096.bpm | $C_2^6.C_2\wr C_4$ | $2^{12}$ | $2^{3}$ | $70$ | $C_2$ | Nilpotent - 8 |
4096.bpu | $C_2^6.C_2\wr C_4$ | $2^{12}$ | $2^{4}$ | $70$ | $C_2$ | Nilpotent - 8 |
4096.bpy | $C_2^6.C_4^2:C_4$ | $2^{12}$ | $2^{3}$ | $61$ | $C_2$ | Nilpotent - 8 |
4096.bpz | $C_2^7.C_4\wr C_2$ | $2^{12}$ | $2^{3}$ | $64$ | $C_2$ | Nilpotent - 8 |
4096.bqb | $C_2^6.C_2\wr C_4$ | $2^{12}$ | $2^{3}$ | $64$ | $C_2$ | Nilpotent - 8 |
4096.bqf | $C_2^6.C_2\wr C_4$ | $2^{12}$ | $2^{3}$ | $61$ | $C_2$ | Nilpotent - 8 |
4096.bqk | $(C_2^2\times D_4^2):D_8$ | $2^{12}$ | $2^{3}$ | $61$ | $C_2$ | Nilpotent - 8 |
4096.bql | $C_2\wr \SD_{16}$ | $2^{12}$ | $2^{4}$ | $64$ | $C_2$ | Nilpotent - 8 |
4096.bqm | $C_2\wr D_8$ | $2^{12}$ | $2^{4}$ | $73$ | $C_2$ | Nilpotent - 8 |
4096.bqn | $C_2^5.C_2\wr D_4$ | $2^{12}$ | $2^{4}$ | $61$ | $C_2$ | Nilpotent - 8 |
4096.bqo | $(C_2^2\times D_4^2):\SD_{16}$ | $2^{12}$ | $2^{3}$ | $58$ | $C_2$ | Nilpotent - 8 |
4096.bqp | $C_4^4:D_8$ | $2^{12}$ | $2^{3}$ | $73$ | $C_2$ | Nilpotent - 8 |
4096.bqq | $C_2^5.C_2\wr D_4$ | $2^{12}$ | $2^{4}$ | $58$ | $C_2$ | Nilpotent - 8 |
4096.bqr | $C_4^4:\SD_{16}$ | $2^{12}$ | $2^{3}$ | $64$ | $C_2$ | Nilpotent - 8 |
4608.r | $C_9\times \SD_{512}$ | $2^{9} \cdot 3^{2}$ | $2^{8} \cdot 3^{2}$ | $1179$ | $C_{18}$ | Nilpotent - 8 |
8192.vb | $C_{256}.C_{32}$ | $2^{13}$ | $2^{8}$ | $2096$ | $C_{32}$ | Nilpotent - 8 |
8192.vd | $C_{32}.D_{128}$ | $2^{13}$ | $2^{8}$ | $2096$ | $C_{32}$ | Nilpotent - 8 |
8192.vf | $C_{32}.D_{128}$ | $2^{13}$ | $2^{8}$ | $2096$ | $C_{32}$ | Nilpotent - 8 |
8192.vm | $C_2^7.C_2\wr C_4$ | $2^{13}$ | $2^{3}$ | $83$ | $C_2$ | Nilpotent - 8 |