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Label | Name | Order | Exponent | $\card{\mathrm{conj}(G)}$ | Center | Type - length |
---|---|---|---|---|---|---|
384.538 | $C_3\times C_4^2.D_4$ | $2^{7} \cdot 3$ | $2^{3} \cdot 3$ | $51$ | $C_6$ | Nilpotent - 5 |
384.539 | $C_3\times C_4^2.D_4$ | $2^{7} \cdot 3$ | $2^{3} \cdot 3$ | $51$ | $C_6$ | Nilpotent - 5 |
384.540 | $C_3\times C_4^2.D_4$ | $2^{7} \cdot 3$ | $2^{3} \cdot 3$ | $51$ | $C_6$ | Nilpotent - 5 |
384.541 | $C_3\times C_4^2.D_4$ | $2^{7} \cdot 3$ | $2^{3} \cdot 3$ | $51$ | $C_6$ | Nilpotent - 5 |
384.5487 | $D_4^2:C_6$ | $2^{7} \cdot 3$ | $2^{3} \cdot 3$ | $60$ | $C_6$ | Nilpotent - 4 |
384.5488 | $C_3\times C_4^2:D_4$ | $2^{7} \cdot 3$ | $2^{3} \cdot 3$ | $60$ | $C_6$ | Nilpotent - 4 |
384.5489 | $C_3\times C_4^2.D_4$ | $2^{7} \cdot 3$ | $2^{3} \cdot 3$ | $60$ | $C_6$ | Nilpotent - 4 |
384.5490 | $C_3\times C_4^2:D_4$ | $2^{7} \cdot 3$ | $2^{3} \cdot 3$ | $51$ | $C_6$ | Nilpotent - 4 |
384.5491 | $C_3\times C_4^2:D_4$ | $2^{7} \cdot 3$ | $2^{3} \cdot 3$ | $51$ | $C_6$ | Nilpotent - 4 |
384.5492 | $C_3\times C_4^2.D_4$ | $2^{7} \cdot 3$ | $2^{3} \cdot 3$ | $51$ | $C_6$ | Nilpotent - 4 |
384.5493 | $C_3\times C_4^2.D_4$ | $2^{7} \cdot 3$ | $2^{3} \cdot 3$ | $51$ | $C_6$ | Nilpotent - 4 |
384.5494 | $C_3\times C_4^2.D_4$ | $2^{7} \cdot 3$ | $2^{3} \cdot 3$ | $51$ | $C_6$ | Nilpotent - 4 |
384.5495 | $C_3\times C_4^2.D_4$ | $2^{7} \cdot 3$ | $2^{3} \cdot 3$ | $60$ | $C_6$ | Nilpotent - 4 |
384.5496 | $Q_8^2:C_6$ | $2^{7} \cdot 3$ | $2^{3} \cdot 3$ | $60$ | $C_6$ | Nilpotent - 4 |
640.538 | $C_5\times C_4^2.D_4$ | $2^{7} \cdot 5$ | $2^{3} \cdot 5$ | $85$ | $C_{10}$ | Nilpotent - 5 |
640.5786 | $D_4^2:C_{10}$ | $2^{7} \cdot 5$ | $2^{3} \cdot 5$ | $100$ | $C_{10}$ | Nilpotent - 4 |
640.5795 | $Q_8^2:C_{10}$ | $2^{7} \cdot 5$ | $2^{3} \cdot 5$ | $100$ | $C_{10}$ | Nilpotent - 4 |
768.510 | $Q_8^2.C_{12}$ | $2^{8} \cdot 3$ | $2^{4} \cdot 3$ | $66$ | $C_6$ | Nilpotent - 6 |
768.5747 | $D_4^2:C_{12}$ | $2^{8} \cdot 3$ | $2^{3} \cdot 3$ | $120$ | $C_2\times C_6$ | Nilpotent - 4 |
768.5946 | $C_2\wr C_4:C_{12}$ | $2^{8} \cdot 3$ | $2^{3} \cdot 3$ | $120$ | $C_2\times C_6$ | Nilpotent - 4 |
768.5952 | $C_2^3.(D_4\times C_{12})$ | $2^{8} \cdot 3$ | $2^{3} \cdot 3$ | $120$ | $C_2\times C_6$ | Nilpotent - 4 |
768.6029 | $(C_2^3\times C_{12}):D_4$ | $2^{8} \cdot 3$ | $2^{3} \cdot 3$ | $120$ | $C_2\times C_6$ | Nilpotent - 4 |
768.6035 | $C_2^3.(D_4\times C_{12})$ | $2^{8} \cdot 3$ | $2^{3} \cdot 3$ | $120$ | $C_2\times C_6$ | Nilpotent - 4 |
768.6331 | $C_3\times C_2^5:D_4$ | $2^{8} \cdot 3$ | $2^{3} \cdot 3$ | $93$ | $C_2\times C_6$ | Nilpotent - 4 |
768.6334 | $(C_2^3\times C_{12}):D_4$ | $2^{8} \cdot 3$ | $2^{3} \cdot 3$ | $93$ | $C_2\times C_6$ | Nilpotent - 4 |
768.6407 | $C_3\times C_2^5.D_4$ | $2^{8} \cdot 3$ | $2^{3} \cdot 3$ | $93$ | $C_2\times C_6$ | Nilpotent - 4 |
768.6410 | $C_3\times C_2^5.D_4$ | $2^{8} \cdot 3$ | $2^{3} \cdot 3$ | $93$ | $C_2\times C_6$ | Nilpotent - 4 |
768.6672 | $(C_4\times C_{24}).D_4$ | $2^{8} \cdot 3$ | $2^{3} \cdot 3$ | $75$ | $C_6$ | Nilpotent - 5 |
768.26531 | $C_2\wr D_4\times C_6$ | $2^{8} \cdot 3$ | $2^{3} \cdot 3$ | $120$ | $C_2\times C_6$ | Nilpotent - 4 |
896.5431 | $D_4^2:C_{14}$ | $2^{7} \cdot 7$ | $2^{3} \cdot 7$ | $140$ | $C_{14}$ | Nilpotent - 4 |
1280.6671 | $C_5\times Q_8^2:C_2^2$ | $2^{8} \cdot 5$ | $2^{3} \cdot 5$ | $125$ | $C_{10}$ | Nilpotent - 5 |
1280.26531 | $C_2\wr D_4\times C_{10}$ | $2^{8} \cdot 5$ | $2^{3} \cdot 5$ | $200$ | $C_2\times C_{10}$ | Nilpotent - 4 |
1536.2018 | $C_3\times C_8^2.D_4$ | $2^{9} \cdot 3$ | $2^{4} \cdot 3$ | $96$ | $C_6$ | Nilpotent - 7 |
1536.60820 | $Q_{16}^2:C_6$ | $2^{9} \cdot 3$ | $2^{4} \cdot 3$ | $105$ | $C_6$ | Nilpotent - 6 |
1536.402937 | $C_2\wr D_4\times C_{12}$ | $2^{9} \cdot 3$ | $2^{3} \cdot 3$ | $240$ | $C_2\times C_{12}$ | Nilpotent - 4 |
1536.406983 | $C_3\times C_2^6:D_4$ | $2^{9} \cdot 3$ | $2^{3} \cdot 3$ | $168$ | $C_2\times C_6$ | Nilpotent - 4 |
1536.407039 | $(C_6\times D_4^2):C_2^2$ | $2^{9} \cdot 3$ | $2^{3} \cdot 3$ | $168$ | $C_2\times C_6$ | Nilpotent - 4 |
1536.407953 | $C_3\times C_2^3.D_4^2$ | $2^{9} \cdot 3$ | $2^{3} \cdot 3$ | $168$ | $C_2\times C_6$ | Nilpotent - 4 |
1536.407965 | $C_3\times C_4^3:D_4$ | $2^{9} \cdot 3$ | $2^{3} \cdot 3$ | $168$ | $C_2\times C_6$ | Nilpotent - 4 |
1536.408280 | $C_3\times C_2^3.D_4^2$ | $2^{9} \cdot 3$ | $2^{3} \cdot 3$ | $159$ | $C_2\times C_6$ | Nilpotent - 4 |
1536.408352 | $C_3\times C_2^6:D_4$ | $2^{9} \cdot 3$ | $2^{3} \cdot 3$ | $159$ | $C_2\times C_6$ | Nilpotent - 4 |
1536.410378 | $C_3\times C_2^3.D_4^2$ | $2^{9} \cdot 3$ | $2^{3} \cdot 3$ | $159$ | $C_2\times C_6$ | Nilpotent - 4 |
1536.410390 | $C_3\times C_4^3:D_4$ | $2^{9} \cdot 3$ | $2^{3} \cdot 3$ | $159$ | $C_2\times C_6$ | Nilpotent - 4 |
1536.418967 | $C_3\times D_4^2:D_4$ | $2^{9} \cdot 3$ | $2^{3} \cdot 3$ | $195$ | $C_2\times C_6$ | Nilpotent - 4 |
1536.419104 | $C_3\times C_4^3:D_4$ | $2^{9} \cdot 3$ | $2^{3} \cdot 3$ | $195$ | $C_2\times C_6$ | Nilpotent - 4 |
1536.7530050 | $C_2^2\times D_4^2:C_6$ | $2^{9} \cdot 3$ | $2^{3} \cdot 3$ | $240$ | $C_2^2\times C_6$ | Nilpotent - 4 |
3072.dk | $C_3\times Q_{16}^2:C_2^2$ | $2^{10} \cdot 3$ | $2^{4} \cdot 3$ | $147$ | $C_6$ | Nilpotent - 7 |
3072.big | $D_4^3.C_6$ | $2^{10} \cdot 3$ | $2^{3} \cdot 3$ | $300$ | $C_2\times C_6$ | Nilpotent - 4 |
3072.bji | $(C_6\times D_4^2).D_4$ | $2^{10} \cdot 3$ | $2^{3} \cdot 3$ | $318$ | $C_2\times C_6$ | Nilpotent - 4 |
3072.bjn | $C_3\times C_2^7:D_4$ | $2^{10} \cdot 3$ | $2^{3} \cdot 3$ | $264$ | $C_2^2\times C_6$ | Nilpotent - 4 |