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Results (1-50 of 39752 matches)

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Label Name Order Exponent $\card{\mathrm{conj}(G)}$ Center Central quotient Commutator Abelianization Type - length
8.3 $D_4$ $2^{3}$ $2^{2}$ $5$ $C_2$ $C_2^2$ $C_2$ $C_{2}^{2}$ Nilpotent - 2
8.4 $Q_8$ $2^{3}$ $2^{2}$ $5$ $C_2$ $C_2^2$ $C_2$ $C_{2}^{2}$ Nilpotent - 2
16.3 $C_2^2:C_4$ $2^{4}$ $2^{2}$ $10$ $C_2^2$ $C_2^2$ $C_2$ $C_{2} \times C_{4}$ Nilpotent - 2
16.4 $C_4:C_4$ $2^{4}$ $2^{2}$ $10$ $C_2^2$ $C_2^2$ $C_2$ $C_{2} \times C_{4}$ Nilpotent - 2
16.6 $\OD_{16}$ $2^{4}$ $2^{3}$ $10$ $C_4$ $C_2^2$ $C_2$ $C_{2} \times C_{4}$ Nilpotent - 2
16.11 $C_2\times D_4$ $2^{4}$ $2^{2}$ $10$ $C_2^2$ $C_2^2$ $C_2$ $C_{2}^{3}$ Nilpotent - 2
16.12 $C_2\times Q_8$ $2^{4}$ $2^{2}$ $10$ $C_2^2$ $C_2^2$ $C_2$ $C_{2}^{3}$ Nilpotent - 2
16.13 $D_4:C_2$ $2^{4}$ $2^{2}$ $10$ $C_4$ $C_2^2$ $C_2$ $C_{2}^{3}$ Nilpotent - 2
24.10 $C_3\times D_4$ $2^{3} \cdot 3$ $2^{2} \cdot 3$ $15$ $C_6$ $C_2^2$ $C_2$ $C_{2} \times C_{6}$ Nilpotent - 2
24.11 $C_3\times Q_8$ $2^{3} \cdot 3$ $2^{2} \cdot 3$ $15$ $C_6$ $C_2^2$ $C_2$ $C_{2} \times C_{6}$ Nilpotent - 2
27.3 $\He_3$ $3^{3}$ $3$ $11$ $C_3$ $C_3^2$ $C_3$ $C_{3}^{2}$ Nilpotent - 2
27.4 $C_9:C_3$ $3^{3}$ $3^{2}$ $11$ $C_3$ $C_3^2$ $C_3$ $C_{3}^{2}$ Nilpotent - 2
32.2 $C_2.C_4^2$ $2^{5}$ $2^{2}$ $20$ $C_2^3$ $C_2^2$ $C_2$ $C_{4}^{2}$ Nilpotent - 2
32.4 $C_8:C_4$ $2^{5}$ $2^{3}$ $20$ $C_2\times C_4$ $C_2^2$ $C_2$ $C_{4}^{2}$ Nilpotent - 2
32.5 $C_2^2:C_8$ $2^{5}$ $2^{3}$ $20$ $C_2\times C_4$ $C_2^2$ $C_2$ $C_{2} \times C_{8}$ Nilpotent - 2
32.12 $C_4:C_8$ $2^{5}$ $2^{3}$ $20$ $C_2\times C_4$ $C_2^2$ $C_2$ $C_{2} \times C_{8}$ Nilpotent - 2
32.17 $\OD_{32}$ $2^{5}$ $2^{4}$ $20$ $C_8$ $C_2^2$ $C_2$ $C_{2} \times C_{8}$ Nilpotent - 2
32.22 $C_2^3:C_4$ $2^{5}$ $2^{2}$ $20$ $C_2^3$ $C_2^2$ $C_2$ $C_{2}^{2} \times C_{4}$ Nilpotent - 2
32.23 $C_2^2.D_4$ $2^{5}$ $2^{2}$ $20$ $C_2^3$ $C_2^2$ $C_2$ $C_{2}^{2} \times C_{4}$ Nilpotent - 2
32.24 $C_4^2:C_2$ $2^{5}$ $2^{2}$ $20$ $C_2\times C_4$ $C_2^2$ $C_2$ $C_{2}^{2} \times C_{4}$ Nilpotent - 2
32.25 $C_4\times D_4$ $2^{5}$ $2^{2}$ $20$ $C_2\times C_4$ $C_2^2$ $C_2$ $C_{2}^{2} \times C_{4}$ Nilpotent - 2
32.26 $C_4\times Q_8$ $2^{5}$ $2^{2}$ $20$ $C_2\times C_4$ $C_2^2$ $C_2$ $C_{2}^{2} \times C_{4}$ Nilpotent - 2
32.27 $C_2^2\wr C_2$ $2^{5}$ $2^{2}$ $14$ $C_2^2$ $C_2^3$ $C_2^2$ $C_{2}^{3}$ Nilpotent - 2
32.28 $C_4:D_4$ $2^{5}$ $2^{2}$ $14$ $C_2^2$ $C_2^3$ $C_2^2$ $C_{2}^{3}$ Nilpotent - 2
32.29 $C_2^2:Q_8$ $2^{5}$ $2^{2}$ $14$ $C_2^2$ $C_2^3$ $C_2^2$ $C_{2}^{3}$ Nilpotent - 2
32.30 $C_2^2.D_4$ $2^{5}$ $2^{2}$ $14$ $C_2^2$ $C_2^3$ $C_2^2$ $C_{2}^{3}$ Nilpotent - 2
32.31 $C_4^2:C_2$ $2^{5}$ $2^{2}$ $14$ $C_2^2$ $C_2^3$ $C_2^2$ $C_{2}^{3}$ Nilpotent - 2
32.32 $C_4.Q_8$ $2^{5}$ $2^{2}$ $14$ $C_2^2$ $C_2^3$ $C_2^2$ $C_{2}^{3}$ Nilpotent - 2
32.33 $C_4^2:C_2$ $2^{5}$ $2^{2}$ $14$ $C_2^2$ $C_2^3$ $C_2^2$ $C_{2}^{3}$ Nilpotent - 2
32.34 $C_4:D_4$ $2^{5}$ $2^{2}$ $14$ $C_2^2$ $C_2^3$ $C_2^2$ $C_{2}^{3}$ Nilpotent - 2
32.35 $C_4:Q_8$ $2^{5}$ $2^{2}$ $14$ $C_2^2$ $C_2^3$ $C_2^2$ $C_{2}^{3}$ Nilpotent - 2
32.37 $C_2\times \OD_{16}$ $2^{5}$ $2^{3}$ $20$ $C_2\times C_4$ $C_2^2$ $C_2$ $C_{2}^{2} \times C_{4}$ Nilpotent - 2
32.38 $\OD_{16}:C_2$ $2^{5}$ $2^{3}$ $20$ $C_8$ $C_2^2$ $C_2$ $C_{2}^{2} \times C_{4}$ Nilpotent - 2
32.46 $C_2^2\times D_4$ $2^{5}$ $2^{2}$ $20$ $C_2^3$ $C_2^2$ $C_2$ $C_{2}^{4}$ Nilpotent - 2
32.47 $C_2^2\times Q_8$ $2^{5}$ $2^{2}$ $20$ $C_2^3$ $C_2^2$ $C_2$ $C_{2}^{4}$ Nilpotent - 2
32.48 $D_4:C_2^2$ $2^{5}$ $2^{2}$ $20$ $C_2\times C_4$ $C_2^2$ $C_2$ $C_{2}^{4}$ Nilpotent - 2
32.49 $D_4:C_2^2$ $2^{5}$ $2^{2}$ $17$ $C_2$ $C_2^4$ $C_2$ $C_{2}^{4}$ Nilpotent - 2
32.50 $C_4.C_2^3$ $2^{5}$ $2^{2}$ $17$ $C_2$ $C_2^4$ $C_2$ $C_{2}^{4}$ Nilpotent - 2
40.10 $C_5\times D_4$ $2^{3} \cdot 5$ $2^{2} \cdot 5$ $25$ $C_{10}$ $C_2^2$ $C_2$ $C_{2} \times C_{10}$ Nilpotent - 2
40.11 $C_5\times Q_8$ $2^{3} \cdot 5$ $2^{2} \cdot 5$ $25$ $C_{10}$ $C_2^2$ $C_2$ $C_{2} \times C_{10}$ Nilpotent - 2
48.21 $C_2^2:C_{12}$ $2^{4} \cdot 3$ $2^{2} \cdot 3$ $30$ $C_2\times C_6$ $C_2^2$ $C_2$ $C_{2} \times C_{12}$ Nilpotent - 2
48.22 $C_4:C_{12}$ $2^{4} \cdot 3$ $2^{2} \cdot 3$ $30$ $C_2\times C_6$ $C_2^2$ $C_2$ $C_{2} \times C_{12}$ Nilpotent - 2
48.24 $C_3\times \OD_{16}$ $2^{4} \cdot 3$ $2^{3} \cdot 3$ $30$ $C_{12}$ $C_2^2$ $C_2$ $C_{2} \times C_{12}$ Nilpotent - 2
48.45 $C_6\times D_4$ $2^{4} \cdot 3$ $2^{2} \cdot 3$ $30$ $C_2\times C_6$ $C_2^2$ $C_2$ $C_{2}^{2} \times C_{6}$ Nilpotent - 2
48.46 $C_6\times Q_8$ $2^{4} \cdot 3$ $2^{2} \cdot 3$ $30$ $C_2\times C_6$ $C_2^2$ $C_2$ $C_{2}^{2} \times C_{6}$ Nilpotent - 2
48.47 $D_4:C_6$ $2^{4} \cdot 3$ $2^{2} \cdot 3$ $30$ $C_{12}$ $C_2^2$ $C_2$ $C_{2}^{2} \times C_{6}$ Nilpotent - 2
54.10 $C_2\times \He_3$ $2 \cdot 3^{3}$ $2 \cdot 3$ $22$ $C_6$ $C_3^2$ $C_3$ $C_{3} \times C_{6}$ Nilpotent - 2
54.11 $C_9:C_6$ $2 \cdot 3^{3}$ $2 \cdot 3^{2}$ $22$ $C_6$ $C_3^2$ $C_3$ $C_{3} \times C_{6}$ Nilpotent - 2
56.9 $C_7\times D_4$ $2^{3} \cdot 7$ $2^{2} \cdot 7$ $35$ $C_{14}$ $C_2^2$ $C_2$ $C_{2} \times C_{14}$ Nilpotent - 2
56.10 $C_7\times Q_8$ $2^{3} \cdot 7$ $2^{2} \cdot 7$ $35$ $C_{14}$ $C_2^2$ $C_2$ $C_{2} \times C_{14}$ Nilpotent - 2
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