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Results (1-50 of 8418 matches)

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Label Name Order Exponent $\card{\mathrm{conj}(G)}$ Center Central quotient Commutator Abelianization Type - length
32.18 $D_{16}$ $2^{5}$ $2^{4}$ $11$ $C_2$ $D_8$ $C_8$ $C_{2}^{2}$ Nilpotent - 4
32.19 $\SD_{32}$ $2^{5}$ $2^{4}$ $11$ $C_2$ $D_8$ $C_8$ $C_{2}^{2}$ Nilpotent - 4
32.20 $Q_{32}$ $2^{5}$ $2^{4}$ $11$ $C_2$ $D_8$ $C_8$ $C_{2}^{2}$ Nilpotent - 4
64.32 $C_2\wr C_4$ $2^{6}$ $2^{3}$ $13$ $C_2$ $C_2^3:C_4$ $C_2^3$ $C_{2} \times C_{4}$ Nilpotent - 4
64.33 $C_2^3.D_4$ $2^{6}$ $2^{3}$ $13$ $C_2$ $C_2^3:C_4$ $C_2^3$ $C_{2} \times C_{4}$ Nilpotent - 4
64.34 $C_4^2:C_4$ $2^{6}$ $2^{2}$ $13$ $C_2$ $C_2^3:C_4$ $C_2\times C_4$ $C_{2} \times C_{4}$ Nilpotent - 4
64.35 $C_4^2:C_4$ $2^{6}$ $2^{2}$ $13$ $C_2$ $C_2^3:C_4$ $C_2\times C_4$ $C_{2} \times C_{4}$ Nilpotent - 4
64.36 $C_4^2.C_4$ $2^{6}$ $2^{3}$ $13$ $C_2$ $C_2^3:C_4$ $C_2\times C_4$ $C_{2} \times C_{4}$ Nilpotent - 4
64.37 $C_4^2.C_4$ $2^{6}$ $2^{3}$ $13$ $C_2$ $C_2^3:C_4$ $C_2\times C_4$ $C_{2} \times C_{4}$ Nilpotent - 4
64.38 $D_8:C_4$ $2^{6}$ $2^{4}$ $22$ $C_2^2$ $D_8$ $C_8$ $C_{2} \times C_{4}$ Nilpotent - 4
64.39 $Q_{16}:C_4$ $2^{6}$ $2^{4}$ $22$ $C_2^2$ $D_8$ $C_8$ $C_{2} \times C_{4}$ Nilpotent - 4
64.40 $C_4.D_8$ $2^{6}$ $2^{4}$ $22$ $C_4$ $D_8$ $C_8$ $C_{2} \times C_{4}$ Nilpotent - 4
64.41 $D_8:C_4$ $2^{6}$ $2^{4}$ $16$ $C_2$ $D_4:C_4$ $C_8$ $C_{2} \times C_{4}$ Nilpotent - 4
64.42 $\OD_{32}:C_2$ $2^{6}$ $2^{4}$ $16$ $C_2$ $D_4:C_4$ $C_8$ $C_{2} \times C_{4}$ Nilpotent - 4
64.43 $C_4.D_8$ $2^{6}$ $2^{4}$ $16$ $C_2$ $D_4:C_4$ $C_8$ $C_{2} \times C_{4}$ Nilpotent - 4
64.46 $C_{16}:C_4$ $2^{6}$ $2^{4}$ $16$ $C_2$ $C_8:C_4$ $C_8$ $C_{2} \times C_{4}$ Nilpotent - 4
64.47 $C_{16}:C_4$ $2^{6}$ $2^{4}$ $22$ $C_2^2$ $D_8$ $C_8$ $C_{2} \times C_{4}$ Nilpotent - 4
64.48 $C_{16}:C_4$ $2^{6}$ $2^{4}$ $22$ $C_2^2$ $D_8$ $C_8$ $C_{2} \times C_{4}$ Nilpotent - 4
64.49 $C_{16}.C_4$ $2^{6}$ $2^{4}$ $22$ $C_4$ $D_8$ $C_8$ $C_{2} \times C_{4}$ Nilpotent - 4
64.186 $C_2\times D_{16}$ $2^{6}$ $2^{4}$ $22$ $C_2^2$ $D_8$ $C_8$ $C_{2}^{3}$ Nilpotent - 4
64.187 $C_2\times \SD_{32}$ $2^{6}$ $2^{4}$ $22$ $C_2^2$ $D_8$ $C_8$ $C_{2}^{3}$ Nilpotent - 4
64.188 $C_2\times Q_{32}$ $2^{6}$ $2^{4}$ $22$ $C_2^2$ $D_8$ $C_8$ $C_{2}^{3}$ Nilpotent - 4
64.189 $D_{16}:C_2$ $2^{6}$ $2^{4}$ $22$ $C_4$ $D_8$ $C_8$ $C_{2}^{3}$ Nilpotent - 4
64.190 $D_{16}:C_2$ $2^{6}$ $2^{4}$ $16$ $C_2$ $C_2\times D_8$ $C_8$ $C_{2}^{3}$ Nilpotent - 4
64.191 $Q_{32}:C_2$ $2^{6}$ $2^{4}$ $16$ $C_2$ $C_2\times D_8$ $C_8$ $C_{2}^{3}$ Nilpotent - 4
96.61 $C_3\times D_{16}$ $2^{5} \cdot 3$ $2^{4} \cdot 3$ $33$ $C_6$ $D_8$ $C_8$ $C_{2} \times C_{6}$ Nilpotent - 4
96.62 $C_3\times \SD_{32}$ $2^{5} \cdot 3$ $2^{4} \cdot 3$ $33$ $C_6$ $D_8$ $C_8$ $C_{2} \times C_{6}$ Nilpotent - 4
96.63 $C_3\times Q_{32}$ $2^{5} \cdot 3$ $2^{4} \cdot 3$ $33$ $C_6$ $D_8$ $C_8$ $C_{2} \times C_{6}$ Nilpotent - 4
128.48 $C_2^4:C_8$ $2^{7}$ $2^{3}$ $26$ $C_2^2$ $C_2^3:C_4$ $C_2^3$ $C_{2} \times C_{8}$ Nilpotent - 4
128.49 $C_2^3.\OD_{16}$ $2^{7}$ $2^{3}$ $26$ $C_2^2$ $C_2^3:C_4$ $C_2^3$ $C_{2} \times C_{8}$ Nilpotent - 4
128.50 $(C_2\times D_4):C_8$ $2^{7}$ $2^{3}$ $26$ $C_2^2$ $C_2^3:C_4$ $C_2\times C_4$ $C_{2} \times C_{8}$ Nilpotent - 4
128.51 $(C_2\times Q_8):C_8$ $2^{7}$ $2^{3}$ $26$ $C_2^2$ $C_2^3:C_4$ $C_2\times C_4$ $C_{2} \times C_{8}$ Nilpotent - 4
128.52 $C_2^4.C_8$ $2^{7}$ $2^{4}$ $26$ $C_4$ $C_2^3:C_4$ $C_2^3$ $C_{2} \times C_{8}$ Nilpotent - 4
128.53 $C_2^3.\OD_{16}$ $2^{7}$ $2^{4}$ $26$ $C_4$ $C_2^3:C_4$ $C_2\times C_4$ $C_{2} \times C_{8}$ Nilpotent - 4
128.56 $C_4^2:C_8$ $2^{7}$ $2^{3}$ $26$ $C_2^2$ $C_2^3:C_4$ $C_2\times C_4$ $C_{2} \times C_{8}$ Nilpotent - 4
128.57 $C_4^2:C_8$ $2^{7}$ $2^{3}$ $26$ $C_2^2$ $C_2^3:C_4$ $C_2\times C_4$ $C_{2} \times C_{8}$ Nilpotent - 4
128.58 $C_2^3.\OD_{16}$ $2^{7}$ $2^{3}$ $26$ $C_2^2$ $C_2^3:C_4$ $C_2^3$ $C_{2} \times C_{8}$ Nilpotent - 4
128.59 $C_4^2.C_8$ $2^{7}$ $2^{4}$ $26$ $C_4$ $C_2^3:C_4$ $C_2\times C_4$ $C_{2} \times C_{8}$ Nilpotent - 4
128.60 $(C_2\times C_8).D_4$ $2^{7}$ $2^{4}$ $26$ $C_4$ $C_2^3:C_4$ $C_2^3$ $C_{2} \times C_{8}$ Nilpotent - 4
128.63 $D_8:C_8$ $2^{7}$ $2^{4}$ $44$ $C_2\times C_4$ $D_8$ $C_8$ $C_{2} \times C_{8}$ Nilpotent - 4
128.64 $Q_{16}:C_8$ $2^{7}$ $2^{4}$ $44$ $C_2\times C_4$ $D_8$ $C_8$ $C_{2} \times C_{8}$ Nilpotent - 4
128.65 $D_8:C_8$ $2^{7}$ $2^{4}$ $32$ $C_2^2$ $D_4:C_4$ $C_8$ $C_{2} \times C_{8}$ Nilpotent - 4
128.66 $Q_{16}:C_8$ $2^{7}$ $2^{4}$ $32$ $C_2^2$ $D_4:C_4$ $C_8$ $C_{2} \times C_{8}$ Nilpotent - 4
128.67 $C_8\wr C_2$ $2^{7}$ $2^{4}$ $44$ $C_8$ $D_8$ $C_8$ $C_{2} \times C_{8}$ Nilpotent - 4
128.68 $D_8:C_8$ $2^{7}$ $2^{4}$ $32$ $C_4$ $D_4:C_4$ $C_8$ $C_{2} \times C_{8}$ Nilpotent - 4
128.71 $C_2^3.D_8$ $2^{7}$ $2^{4}$ $20$ $C_2$ $C_2^2.D_8$ $C_2\times C_8$ $C_{2} \times C_{4}$ Nilpotent - 4
128.72 $C_2^3.D_8$ $2^{7}$ $2^{4}$ $20$ $C_2$ $C_2^2.D_8$ $C_2\times C_8$ $C_{2} \times C_{4}$ Nilpotent - 4
128.73 $C_2^3.\SD_{16}$ $2^{7}$ $2^{4}$ $20$ $C_2$ $C_2^2.D_8$ $C_2\times C_8$ $C_{2} \times C_{4}$ Nilpotent - 4
128.74 $C_2^3.\SD_{16}$ $2^{7}$ $2^{4}$ $20$ $C_2$ $C_2^2.D_8$ $C_2\times C_8$ $C_{2} \times C_{4}$ Nilpotent - 4
128.75 $C_2^3.D_8$ $2^{7}$ $2^{3}$ $23$ $C_2^2$ $C_2^3:C_4$ $C_2^2\times C_4$ $C_{2} \times C_{4}$ Nilpotent - 4
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