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Extensions 1→N→G→Q→1 with N=C6×M4(2) and Q=C2

Direct product G=N×Q with N=C6×M4(2) and Q=C2
dρLabelID
C2×C6×M4(2)96C2xC6xM4(2)192,1455

Semidirect products G=N:Q with N=C6×M4(2) and Q=C2
extensionφ:Q→Out NdρLabelID
(C6×M4(2))⋊1C2 = C24⋊2D4φ: C2/C1 → C2 ⊆ Out C6×M4(2)96(C6xM4(2)):1C2192,693
(C6×M4(2))⋊2C2 = C24⋊3D4φ: C2/C1 → C2 ⊆ Out C6×M4(2)96(C6xM4(2)):2C2192,694
(C6×M4(2))⋊3C2 = C2×C8⋊D6φ: C2/C1 → C2 ⊆ Out C6×M4(2)48(C6xM4(2)):3C2192,1305
(C6×M4(2))⋊4C2 = C2×C8.D6φ: C2/C1 → C2 ⊆ Out C6×M4(2)96(C6xM4(2)):4C2192,1306
(C6×M4(2))⋊5C2 = C24.9C23φ: C2/C1 → C2 ⊆ Out C6×M4(2)484(C6xM4(2)):5C2192,1307
(C6×M4(2))⋊6C2 = C3×C8⋊D4φ: C2/C1 → C2 ⊆ Out C6×M4(2)96(C6xM4(2)):6C2192,901
(C6×M4(2))⋊7C2 = C3×C8⋊2D4φ: C2/C1 → C2 ⊆ Out C6×M4(2)96(C6xM4(2)):7C2192,902
(C6×M4(2))⋊8C2 = C6×C8⋊C22φ: C2/C1 → C2 ⊆ Out C6×M4(2)48(C6xM4(2)):8C2192,1462
(C6×M4(2))⋊9C2 = C6×C8.C22φ: C2/C1 → C2 ⊆ Out C6×M4(2)96(C6xM4(2)):9C2192,1463
(C6×M4(2))⋊10C2 = C3×D8⋊C22φ: C2/C1 → C2 ⊆ Out C6×M4(2)484(C6xM4(2)):10C2192,1464
(C6×M4(2))⋊11C2 = C24⋊D4φ: C2/C1 → C2 ⊆ Out C6×M4(2)96(C6xM4(2)):11C2192,686
(C6×M4(2))⋊12C2 = C24⋊21D4φ: C2/C1 → C2 ⊆ Out C6×M4(2)96(C6xM4(2)):12C2192,687
(C6×M4(2))⋊13C2 = C2×S3×M4(2)φ: C2/C1 → C2 ⊆ Out C6×M4(2)48(C6xM4(2)):13C2192,1302
(C6×M4(2))⋊14C2 = C2×D12.C4φ: C2/C1 → C2 ⊆ Out C6×M4(2)96(C6xM4(2)):14C2192,1303
(C6×M4(2))⋊15C2 = M4(2)⋊26D6φ: C2/C1 → C2 ⊆ Out C6×M4(2)484(C6xM4(2)):15C2192,1304
(C6×M4(2))⋊16C2 = D6⋊6M4(2)φ: C2/C1 → C2 ⊆ Out C6×M4(2)48(C6xM4(2)):16C2192,685
(C6×M4(2))⋊17C2 = D6⋊C8⋊40C2φ: C2/C1 → C2 ⊆ Out C6×M4(2)96(C6xM4(2)):17C2192,688
(C6×M4(2))⋊18C2 = C2×C12.46D4φ: C2/C1 → C2 ⊆ Out C6×M4(2)48(C6xM4(2)):18C2192,689
(C6×M4(2))⋊19C2 = C23.53D12φ: C2/C1 → C2 ⊆ Out C6×M4(2)48(C6xM4(2)):19C2192,690
(C6×M4(2))⋊20C2 = M4(2).31D6φ: C2/C1 → C2 ⊆ Out C6×M4(2)484(C6xM4(2)):20C2192,691
(C6×M4(2))⋊21C2 = C23.54D12φ: C2/C1 → C2 ⊆ Out C6×M4(2)96(C6xM4(2)):21C2192,692
(C6×M4(2))⋊22C2 = C2×D12⋊C4φ: C2/C1 → C2 ⊆ Out C6×M4(2)48(C6xM4(2)):22C2192,697
(C6×M4(2))⋊23C2 = M4(2)⋊24D6φ: C2/C1 → C2 ⊆ Out C6×M4(2)484(C6xM4(2)):23C2192,698
(C6×M4(2))⋊24C2 = C3×C24.4C4φ: C2/C1 → C2 ⊆ Out C6×M4(2)48(C6xM4(2)):24C2192,840
(C6×M4(2))⋊25C2 = C3×(C22×C8)⋊C2φ: C2/C1 → C2 ⊆ Out C6×M4(2)96(C6xM4(2)):25C2192,841
(C6×M4(2))⋊26C2 = C6×C4.D4φ: C2/C1 → C2 ⊆ Out C6×M4(2)48(C6xM4(2)):26C2192,844
(C6×M4(2))⋊27C2 = C3×M4(2).8C22φ: C2/C1 → C2 ⊆ Out C6×M4(2)484(C6xM4(2)):27C2192,846
(C6×M4(2))⋊28C2 = C3×C23.36D4φ: C2/C1 → C2 ⊆ Out C6×M4(2)96(C6xM4(2)):28C2192,850
(C6×M4(2))⋊29C2 = C3×C23.37D4φ: C2/C1 → C2 ⊆ Out C6×M4(2)48(C6xM4(2)):29C2192,851
(C6×M4(2))⋊30C2 = C6×C4≀C2φ: C2/C1 → C2 ⊆ Out C6×M4(2)48(C6xM4(2)):30C2192,853
(C6×M4(2))⋊31C2 = C3×C42⋊C22φ: C2/C1 → C2 ⊆ Out C6×M4(2)484(C6xM4(2)):31C2192,854
(C6×M4(2))⋊32C2 = C3×C8⋊9D4φ: C2/C1 → C2 ⊆ Out C6×M4(2)96(C6xM4(2)):32C2192,868
(C6×M4(2))⋊33C2 = C3×C8⋊6D4φ: C2/C1 → C2 ⊆ Out C6×M4(2)96(C6xM4(2)):33C2192,869
(C6×M4(2))⋊34C2 = C3×Q8○M4(2)φ: C2/C1 → C2 ⊆ Out C6×M4(2)484(C6xM4(2)):34C2192,1457
(C6×M4(2))⋊35C2 = C6×C8○D4φ: trivial image96(C6xM4(2)):35C2192,1456

Non-split extensions G=N.Q with N=C6×M4(2) and Q=C2
extensionφ:Q→Out NdρLabelID
(C6×M4(2)).1C2 = C23.52D12φ: C2/C1 → C2 ⊆ Out C6×M4(2)96(C6xM4(2)).1C2192,680
(C6×M4(2)).2C2 = C23.9Dic6φ: C2/C1 → C2 ⊆ Out C6×M4(2)484(C6xM4(2)).2C2192,684
(C6×M4(2)).3C2 = C24.4D4φ: C2/C1 → C2 ⊆ Out C6×M4(2)96(C6xM4(2)).3C2192,696
(C6×M4(2)).4C2 = C3×M4(2)⋊C4φ: C2/C1 → C2 ⊆ Out C6×M4(2)96(C6xM4(2)).4C2192,861
(C6×M4(2)).5C2 = C3×C8.D4φ: C2/C1 → C2 ⊆ Out C6×M4(2)96(C6xM4(2)).5C2192,903
(C6×M4(2)).6C2 = C24.D4φ: C2/C1 → C2 ⊆ Out C6×M4(2)484(C6xM4(2)).6C2192,112
(C6×M4(2)).7C2 = Dic3×M4(2)φ: C2/C1 → C2 ⊆ Out C6×M4(2)96(C6xM4(2)).7C2192,676
(C6×M4(2)).8C2 = C12.7C42φ: C2/C1 → C2 ⊆ Out C6×M4(2)96(C6xM4(2)).8C2192,681
(C6×M4(2)).9C2 = M4(2)⋊Dic3φ: C2/C1 → C2 ⊆ Out C6×M4(2)96(C6xM4(2)).9C2192,113
(C6×M4(2)).10C2 = C12.3C42φ: C2/C1 → C2 ⊆ Out C6×M4(2)48(C6xM4(2)).10C2192,114
(C6×M4(2)).11C2 = (C2×C24)⋊C4φ: C2/C1 → C2 ⊆ Out C6×M4(2)484(C6xM4(2)).11C2192,115
(C6×M4(2)).12C2 = C12.20C42φ: C2/C1 → C2 ⊆ Out C6×M4(2)484(C6xM4(2)).12C2192,116
(C6×M4(2)).13C2 = C12.4C42φ: C2/C1 → C2 ⊆ Out C6×M4(2)96(C6xM4(2)).13C2192,117
(C6×M4(2)).14C2 = M4(2)⋊4Dic3φ: C2/C1 → C2 ⊆ Out C6×M4(2)484(C6xM4(2)).14C2192,118
(C6×M4(2)).15C2 = C12.21C42φ: C2/C1 → C2 ⊆ Out C6×M4(2)484(C6xM4(2)).15C2192,119
(C6×M4(2)).16C2 = C3×C4.9C42φ: C2/C1 → C2 ⊆ Out C6×M4(2)484(C6xM4(2)).16C2192,143
(C6×M4(2)).17C2 = C3×C4.10C42φ: C2/C1 → C2 ⊆ Out C6×M4(2)484(C6xM4(2)).17C2192,144
(C6×M4(2)).18C2 = C3×C42⋊6C4φ: C2/C1 → C2 ⊆ Out C6×M4(2)48(C6xM4(2)).18C2192,145
(C6×M4(2)).19C2 = C3×C4.C42φ: C2/C1 → C2 ⊆ Out C6×M4(2)96(C6xM4(2)).19C2192,147
(C6×M4(2)).20C2 = C3×C22.C42φ: C2/C1 → C2 ⊆ Out C6×M4(2)96(C6xM4(2)).20C2192,149
(C6×M4(2)).21C2 = C3×M4(2)⋊4C4φ: C2/C1 → C2 ⊆ Out C6×M4(2)484(C6xM4(2)).21C2192,150
(C6×M4(2)).22C2 = C3×C23.C8φ: C2/C1 → C2 ⊆ Out C6×M4(2)484(C6xM4(2)).22C2192,155
(C6×M4(2)).23C2 = Dic3⋊4M4(2)φ: C2/C1 → C2 ⊆ Out C6×M4(2)96(C6xM4(2)).23C2192,677
(C6×M4(2)).24C2 = C12.88(C2×Q8)φ: C2/C1 → C2 ⊆ Out C6×M4(2)96(C6xM4(2)).24C2192,678
(C6×M4(2)).25C2 = C23.51D12φ: C2/C1 → C2 ⊆ Out C6×M4(2)96(C6xM4(2)).25C2192,679
(C6×M4(2)).26C2 = C2×C12.53D4φ: C2/C1 → C2 ⊆ Out C6×M4(2)96(C6xM4(2)).26C2192,682
(C6×M4(2)).27C2 = C23.8Dic6φ: C2/C1 → C2 ⊆ Out C6×M4(2)484(C6xM4(2)).27C2192,683
(C6×M4(2)).28C2 = C2×C12.47D4φ: C2/C1 → C2 ⊆ Out C6×M4(2)96(C6xM4(2)).28C2192,695
(C6×M4(2)).29C2 = C6×C4.10D4φ: C2/C1 → C2 ⊆ Out C6×M4(2)96(C6xM4(2)).29C2192,845
(C6×M4(2)).30C2 = C3×C23.38D4φ: C2/C1 → C2 ⊆ Out C6×M4(2)96(C6xM4(2)).30C2192,852
(C6×M4(2)).31C2 = C3×C4⋊M4(2)φ: C2/C1 → C2 ⊆ Out C6×M4(2)96(C6xM4(2)).31C2192,856
(C6×M4(2)).32C2 = C3×C42.6C22φ: C2/C1 → C2 ⊆ Out C6×M4(2)96(C6xM4(2)).32C2192,857
(C6×M4(2)).33C2 = C6×C8.C4φ: C2/C1 → C2 ⊆ Out C6×M4(2)96(C6xM4(2)).33C2192,862
(C6×M4(2)).34C2 = C3×M4(2).C4φ: C2/C1 → C2 ⊆ Out C6×M4(2)484(C6xM4(2)).34C2192,863
(C6×M4(2)).35C2 = C12×M4(2)φ: trivial image96(C6xM4(2)).35C2192,837
(C6×M4(2)).36C2 = C3×C8○2M4(2)φ: trivial image96(C6xM4(2)).36C2192,838

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