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Extensions 1→N→G→Q→1 with N=C6xM4(2) and Q=C2

Direct product G=NxQ with N=C6xM4(2) and Q=C2
dρLabelID
C2xC6xM4(2)96C2xC6xM4(2)192,1455

Semidirect products G=N:Q with N=C6xM4(2) and Q=C2
extensionφ:Q→Out NdρLabelID
(C6xM4(2)):1C2 = C24:2D4φ: C2/C1 → C2 ⊆ Out C6xM4(2)96(C6xM4(2)):1C2192,693
(C6xM4(2)):2C2 = C24:3D4φ: C2/C1 → C2 ⊆ Out C6xM4(2)96(C6xM4(2)):2C2192,694
(C6xM4(2)):3C2 = C2xC8:D6φ: C2/C1 → C2 ⊆ Out C6xM4(2)48(C6xM4(2)):3C2192,1305
(C6xM4(2)):4C2 = C2xC8.D6φ: C2/C1 → C2 ⊆ Out C6xM4(2)96(C6xM4(2)):4C2192,1306
(C6xM4(2)):5C2 = C24.9C23φ: C2/C1 → C2 ⊆ Out C6xM4(2)484(C6xM4(2)):5C2192,1307
(C6xM4(2)):6C2 = C3xC8:D4φ: C2/C1 → C2 ⊆ Out C6xM4(2)96(C6xM4(2)):6C2192,901
(C6xM4(2)):7C2 = C3xC8:2D4φ: C2/C1 → C2 ⊆ Out C6xM4(2)96(C6xM4(2)):7C2192,902
(C6xM4(2)):8C2 = C6xC8:C22φ: C2/C1 → C2 ⊆ Out C6xM4(2)48(C6xM4(2)):8C2192,1462
(C6xM4(2)):9C2 = C6xC8.C22φ: C2/C1 → C2 ⊆ Out C6xM4(2)96(C6xM4(2)):9C2192,1463
(C6xM4(2)):10C2 = C3xD8:C22φ: C2/C1 → C2 ⊆ Out C6xM4(2)484(C6xM4(2)):10C2192,1464
(C6xM4(2)):11C2 = C24:D4φ: C2/C1 → C2 ⊆ Out C6xM4(2)96(C6xM4(2)):11C2192,686
(C6xM4(2)):12C2 = C24:21D4φ: C2/C1 → C2 ⊆ Out C6xM4(2)96(C6xM4(2)):12C2192,687
(C6xM4(2)):13C2 = C2xS3xM4(2)φ: C2/C1 → C2 ⊆ Out C6xM4(2)48(C6xM4(2)):13C2192,1302
(C6xM4(2)):14C2 = C2xD12.C4φ: C2/C1 → C2 ⊆ Out C6xM4(2)96(C6xM4(2)):14C2192,1303
(C6xM4(2)):15C2 = M4(2):26D6φ: C2/C1 → C2 ⊆ Out C6xM4(2)484(C6xM4(2)):15C2192,1304
(C6xM4(2)):16C2 = D6:6M4(2)φ: C2/C1 → C2 ⊆ Out C6xM4(2)48(C6xM4(2)):16C2192,685
(C6xM4(2)):17C2 = D6:C8:40C2φ: C2/C1 → C2 ⊆ Out C6xM4(2)96(C6xM4(2)):17C2192,688
(C6xM4(2)):18C2 = C2xC12.46D4φ: C2/C1 → C2 ⊆ Out C6xM4(2)48(C6xM4(2)):18C2192,689
(C6xM4(2)):19C2 = C23.53D12φ: C2/C1 → C2 ⊆ Out C6xM4(2)48(C6xM4(2)):19C2192,690
(C6xM4(2)):20C2 = M4(2).31D6φ: C2/C1 → C2 ⊆ Out C6xM4(2)484(C6xM4(2)):20C2192,691
(C6xM4(2)):21C2 = C23.54D12φ: C2/C1 → C2 ⊆ Out C6xM4(2)96(C6xM4(2)):21C2192,692
(C6xM4(2)):22C2 = C2xD12:C4φ: C2/C1 → C2 ⊆ Out C6xM4(2)48(C6xM4(2)):22C2192,697
(C6xM4(2)):23C2 = M4(2):24D6φ: C2/C1 → C2 ⊆ Out C6xM4(2)484(C6xM4(2)):23C2192,698
(C6xM4(2)):24C2 = C3xC24.4C4φ: C2/C1 → C2 ⊆ Out C6xM4(2)48(C6xM4(2)):24C2192,840
(C6xM4(2)):25C2 = C3x(C22xC8):C2φ: C2/C1 → C2 ⊆ Out C6xM4(2)96(C6xM4(2)):25C2192,841
(C6xM4(2)):26C2 = C6xC4.D4φ: C2/C1 → C2 ⊆ Out C6xM4(2)48(C6xM4(2)):26C2192,844
(C6xM4(2)):27C2 = C3xM4(2).8C22φ: C2/C1 → C2 ⊆ Out C6xM4(2)484(C6xM4(2)):27C2192,846
(C6xM4(2)):28C2 = C3xC23.36D4φ: C2/C1 → C2 ⊆ Out C6xM4(2)96(C6xM4(2)):28C2192,850
(C6xM4(2)):29C2 = C3xC23.37D4φ: C2/C1 → C2 ⊆ Out C6xM4(2)48(C6xM4(2)):29C2192,851
(C6xM4(2)):30C2 = C6xC4wrC2φ: C2/C1 → C2 ⊆ Out C6xM4(2)48(C6xM4(2)):30C2192,853
(C6xM4(2)):31C2 = C3xC42:C22φ: C2/C1 → C2 ⊆ Out C6xM4(2)484(C6xM4(2)):31C2192,854
(C6xM4(2)):32C2 = C3xC8:9D4φ: C2/C1 → C2 ⊆ Out C6xM4(2)96(C6xM4(2)):32C2192,868
(C6xM4(2)):33C2 = C3xC8:6D4φ: C2/C1 → C2 ⊆ Out C6xM4(2)96(C6xM4(2)):33C2192,869
(C6xM4(2)):34C2 = C3xQ8oM4(2)φ: C2/C1 → C2 ⊆ Out C6xM4(2)484(C6xM4(2)):34C2192,1457
(C6xM4(2)):35C2 = C6xC8oD4φ: trivial image96(C6xM4(2)):35C2192,1456

Non-split extensions G=N.Q with N=C6xM4(2) and Q=C2
extensionφ:Q→Out NdρLabelID
(C6xM4(2)).1C2 = C23.52D12φ: C2/C1 → C2 ⊆ Out C6xM4(2)96(C6xM4(2)).1C2192,680
(C6xM4(2)).2C2 = C23.9Dic6φ: C2/C1 → C2 ⊆ Out C6xM4(2)484(C6xM4(2)).2C2192,684
(C6xM4(2)).3C2 = C24.4D4φ: C2/C1 → C2 ⊆ Out C6xM4(2)96(C6xM4(2)).3C2192,696
(C6xM4(2)).4C2 = C3xM4(2):C4φ: C2/C1 → C2 ⊆ Out C6xM4(2)96(C6xM4(2)).4C2192,861
(C6xM4(2)).5C2 = C3xC8.D4φ: C2/C1 → C2 ⊆ Out C6xM4(2)96(C6xM4(2)).5C2192,903
(C6xM4(2)).6C2 = C24.D4φ: C2/C1 → C2 ⊆ Out C6xM4(2)484(C6xM4(2)).6C2192,112
(C6xM4(2)).7C2 = Dic3xM4(2)φ: C2/C1 → C2 ⊆ Out C6xM4(2)96(C6xM4(2)).7C2192,676
(C6xM4(2)).8C2 = C12.7C42φ: C2/C1 → C2 ⊆ Out C6xM4(2)96(C6xM4(2)).8C2192,681
(C6xM4(2)).9C2 = M4(2):Dic3φ: C2/C1 → C2 ⊆ Out C6xM4(2)96(C6xM4(2)).9C2192,113
(C6xM4(2)).10C2 = C12.3C42φ: C2/C1 → C2 ⊆ Out C6xM4(2)48(C6xM4(2)).10C2192,114
(C6xM4(2)).11C2 = (C2xC24):C4φ: C2/C1 → C2 ⊆ Out C6xM4(2)484(C6xM4(2)).11C2192,115
(C6xM4(2)).12C2 = C12.20C42φ: C2/C1 → C2 ⊆ Out C6xM4(2)484(C6xM4(2)).12C2192,116
(C6xM4(2)).13C2 = C12.4C42φ: C2/C1 → C2 ⊆ Out C6xM4(2)96(C6xM4(2)).13C2192,117
(C6xM4(2)).14C2 = M4(2):4Dic3φ: C2/C1 → C2 ⊆ Out C6xM4(2)484(C6xM4(2)).14C2192,118
(C6xM4(2)).15C2 = C12.21C42φ: C2/C1 → C2 ⊆ Out C6xM4(2)484(C6xM4(2)).15C2192,119
(C6xM4(2)).16C2 = C3xC4.9C42φ: C2/C1 → C2 ⊆ Out C6xM4(2)484(C6xM4(2)).16C2192,143
(C6xM4(2)).17C2 = C3xC4.10C42φ: C2/C1 → C2 ⊆ Out C6xM4(2)484(C6xM4(2)).17C2192,144
(C6xM4(2)).18C2 = C3xC42:6C4φ: C2/C1 → C2 ⊆ Out C6xM4(2)48(C6xM4(2)).18C2192,145
(C6xM4(2)).19C2 = C3xC4.C42φ: C2/C1 → C2 ⊆ Out C6xM4(2)96(C6xM4(2)).19C2192,147
(C6xM4(2)).20C2 = C3xC22.C42φ: C2/C1 → C2 ⊆ Out C6xM4(2)96(C6xM4(2)).20C2192,149
(C6xM4(2)).21C2 = C3xM4(2):4C4φ: C2/C1 → C2 ⊆ Out C6xM4(2)484(C6xM4(2)).21C2192,150
(C6xM4(2)).22C2 = C3xC23.C8φ: C2/C1 → C2 ⊆ Out C6xM4(2)484(C6xM4(2)).22C2192,155
(C6xM4(2)).23C2 = Dic3:4M4(2)φ: C2/C1 → C2 ⊆ Out C6xM4(2)96(C6xM4(2)).23C2192,677
(C6xM4(2)).24C2 = C12.88(C2xQ8)φ: C2/C1 → C2 ⊆ Out C6xM4(2)96(C6xM4(2)).24C2192,678
(C6xM4(2)).25C2 = C23.51D12φ: C2/C1 → C2 ⊆ Out C6xM4(2)96(C6xM4(2)).25C2192,679
(C6xM4(2)).26C2 = C2xC12.53D4φ: C2/C1 → C2 ⊆ Out C6xM4(2)96(C6xM4(2)).26C2192,682
(C6xM4(2)).27C2 = C23.8Dic6φ: C2/C1 → C2 ⊆ Out C6xM4(2)484(C6xM4(2)).27C2192,683
(C6xM4(2)).28C2 = C2xC12.47D4φ: C2/C1 → C2 ⊆ Out C6xM4(2)96(C6xM4(2)).28C2192,695
(C6xM4(2)).29C2 = C6xC4.10D4φ: C2/C1 → C2 ⊆ Out C6xM4(2)96(C6xM4(2)).29C2192,845
(C6xM4(2)).30C2 = C3xC23.38D4φ: C2/C1 → C2 ⊆ Out C6xM4(2)96(C6xM4(2)).30C2192,852
(C6xM4(2)).31C2 = C3xC4:M4(2)φ: C2/C1 → C2 ⊆ Out C6xM4(2)96(C6xM4(2)).31C2192,856
(C6xM4(2)).32C2 = C3xC42.6C22φ: C2/C1 → C2 ⊆ Out C6xM4(2)96(C6xM4(2)).32C2192,857
(C6xM4(2)).33C2 = C6xC8.C4φ: C2/C1 → C2 ⊆ Out C6xM4(2)96(C6xM4(2)).33C2192,862
(C6xM4(2)).34C2 = C3xM4(2).C4φ: C2/C1 → C2 ⊆ Out C6xM4(2)484(C6xM4(2)).34C2192,863
(C6xM4(2)).35C2 = C12xM4(2)φ: trivial image96(C6xM4(2)).35C2192,837
(C6xM4(2)).36C2 = C3xC8o2M4(2)φ: trivial image96(C6xM4(2)).36C2192,838

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