Direct product G=NxQ with N=C62 and Q=Q8
Semidirect products G=N:Q with N=C62 and Q=Q8
extension | φ:Q→Aut N | d | ρ | Label | ID |
C62:1Q8 = C62:Q8 | φ: Q8/C1 → Q8 ⊆ Aut C62 | 24 | 8+ | C6^2:1Q8 | 288,895 |
C62:2Q8 = C22xPSU3(F2) | φ: Q8/C1 → Q8 ⊆ Aut C62 | 36 | | C6^2:2Q8 | 288,1032 |
C62:3Q8 = C62:3Q8 | φ: Q8/C2 → C22 ⊆ Aut C62 | 48 | | C6^2:3Q8 | 288,612 |
C62:4Q8 = C62:4Q8 | φ: Q8/C2 → C22 ⊆ Aut C62 | 48 | | C6^2:4Q8 | 288,630 |
C62:5Q8 = C3xDic3.D4 | φ: Q8/C2 → C22 ⊆ Aut C62 | 48 | | C6^2:5Q8 | 288,649 |
C62:6Q8 = C62:6Q8 | φ: Q8/C2 → C22 ⊆ Aut C62 | 144 | | C6^2:6Q8 | 288,735 |
C62:7Q8 = C22xC32:2Q8 | φ: Q8/C2 → C22 ⊆ Aut C62 | 96 | | C6^2:7Q8 | 288,975 |
C62:8Q8 = C32xC22:Q8 | φ: Q8/C4 → C2 ⊆ Aut C62 | 144 | | C6^2:8Q8 | 288,819 |
C62:9Q8 = C3xC12.48D4 | φ: Q8/C4 → C2 ⊆ Aut C62 | 48 | | C6^2:9Q8 | 288,695 |
C62:10Q8 = C62:10Q8 | φ: Q8/C4 → C2 ⊆ Aut C62 | 144 | | C6^2:10Q8 | 288,781 |
C62:11Q8 = C2xC6xDic6 | φ: Q8/C4 → C2 ⊆ Aut C62 | 96 | | C6^2:11Q8 | 288,988 |
C62:12Q8 = C22xC32:4Q8 | φ: Q8/C4 → C2 ⊆ Aut C62 | 288 | | C6^2:12Q8 | 288,1003 |
Non-split extensions G=N.Q with N=C62 and Q=Q8
extension | φ:Q→Aut N | d | ρ | Label | ID |
C62.1Q8 = C62.Q8 | φ: Q8/C1 → Q8 ⊆ Aut C62 | 48 | | C6^2.1Q8 | 288,395 |
C62.2Q8 = C62.2Q8 | φ: Q8/C1 → Q8 ⊆ Aut C62 | 48 | 8- | C6^2.2Q8 | 288,396 |
C62.3Q8 = C2xC2.PSU3(F2) | φ: Q8/C1 → Q8 ⊆ Aut C62 | 48 | | C6^2.3Q8 | 288,894 |
C62.4Q8 = C12.82D12 | φ: Q8/C2 → C22 ⊆ Aut C62 | 48 | 4 | C6^2.4Q8 | 288,225 |
C62.5Q8 = C62.5Q8 | φ: Q8/C2 → C22 ⊆ Aut C62 | 48 | 4 | C6^2.5Q8 | 288,226 |
C62.6Q8 = C62.6Q8 | φ: Q8/C2 → C22 ⊆ Aut C62 | 96 | | C6^2.6Q8 | 288,227 |
C62.7Q8 = C3xC12.53D4 | φ: Q8/C2 → C22 ⊆ Aut C62 | 48 | 4 | C6^2.7Q8 | 288,256 |
C62.8Q8 = C62.8Q8 | φ: Q8/C2 → C22 ⊆ Aut C62 | 144 | | C6^2.8Q8 | 288,297 |
C62.9Q8 = C2xDic3:Dic3 | φ: Q8/C2 → C22 ⊆ Aut C62 | 96 | | C6^2.9Q8 | 288,613 |
C62.10Q8 = C2xC62.C22 | φ: Q8/C2 → C22 ⊆ Aut C62 | 96 | | C6^2.10Q8 | 288,615 |
C62.11Q8 = C32xC8.C4 | φ: Q8/C4 → C2 ⊆ Aut C62 | 144 | | C6^2.11Q8 | 288,326 |
C62.12Q8 = C3xC24.C4 | φ: Q8/C4 → C2 ⊆ Aut C62 | 48 | 2 | C6^2.12Q8 | 288,253 |
C62.13Q8 = C3xC6.C42 | φ: Q8/C4 → C2 ⊆ Aut C62 | 96 | | C6^2.13Q8 | 288,265 |
C62.14Q8 = C12.59D12 | φ: Q8/C4 → C2 ⊆ Aut C62 | 144 | | C6^2.14Q8 | 288,294 |
C62.15Q8 = C62.15Q8 | φ: Q8/C4 → C2 ⊆ Aut C62 | 288 | | C6^2.15Q8 | 288,306 |
C62.16Q8 = C6xDic3:C4 | φ: Q8/C4 → C2 ⊆ Aut C62 | 96 | | C6^2.16Q8 | 288,694 |
C62.17Q8 = C6xC4:Dic3 | φ: Q8/C4 → C2 ⊆ Aut C62 | 96 | | C6^2.17Q8 | 288,696 |
C62.18Q8 = C2xC6.Dic6 | φ: Q8/C4 → C2 ⊆ Aut C62 | 288 | | C6^2.18Q8 | 288,780 |
C62.19Q8 = C2xC12:Dic3 | φ: Q8/C4 → C2 ⊆ Aut C62 | 288 | | C6^2.19Q8 | 288,782 |
C62.20Q8 = C32xC2.C42 | central extension (φ=1) | 288 | | C6^2.20Q8 | 288,313 |
C62.21Q8 = C4:C4xC3xC6 | central extension (φ=1) | 288 | | C6^2.21Q8 | 288,813 |
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