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Extensions 1→N→G→Q→1 with N=C11×C22⋊C4 and Q=C2

Direct product G=N×Q with N=C11×C22⋊C4 and Q=C2
dρLabelID
C22⋊C4×C22176C2^2:C4xC22352,150

Semidirect products G=N:Q with N=C11×C22⋊C4 and Q=C2
extensionφ:Q→Out NdρLabelID
(C11×C22⋊C4)⋊1C2 = C22.2D44φ: C2/C1 → C2 ⊆ Out C11×C22⋊C4884(C11xC2^2:C4):1C2352,12
(C11×C22⋊C4)⋊2C2 = C11×C23⋊C4φ: C2/C1 → C2 ⊆ Out C11×C22⋊C4884(C11xC2^2:C4):2C2352,48
(C11×C22⋊C4)⋊3C2 = C22⋊D44φ: C2/C1 → C2 ⊆ Out C11×C22⋊C488(C11xC2^2:C4):3C2352,77
(C11×C22⋊C4)⋊4C2 = C22.D44φ: C2/C1 → C2 ⊆ Out C11×C22⋊C4176(C11xC2^2:C4):4C2352,81
(C11×C22⋊C4)⋊5C2 = D22.D4φ: C2/C1 → C2 ⊆ Out C11×C22⋊C4176(C11xC2^2:C4):5C2352,78
(C11×C22⋊C4)⋊6C2 = D22⋊D4φ: C2/C1 → C2 ⊆ Out C11×C22⋊C4176(C11xC2^2:C4):6C2352,79
(C11×C22⋊C4)⋊7C2 = Dic11.D4φ: C2/C1 → C2 ⊆ Out C11×C22⋊C4176(C11xC2^2:C4):7C2352,80
(C11×C22⋊C4)⋊8C2 = C22⋊C4×D11φ: C2/C1 → C2 ⊆ Out C11×C22⋊C488(C11xC2^2:C4):8C2352,75
(C11×C22⋊C4)⋊9C2 = Dic11⋊4D4φ: C2/C1 → C2 ⊆ Out C11×C22⋊C4176(C11xC2^2:C4):9C2352,76
(C11×C22⋊C4)⋊10C2 = C11×C22≀C2φ: C2/C1 → C2 ⊆ Out C11×C22⋊C488(C11xC2^2:C4):10C2352,155
(C11×C22⋊C4)⋊11C2 = C11×C4⋊D4φ: C2/C1 → C2 ⊆ Out C11×C22⋊C4176(C11xC2^2:C4):11C2352,156
(C11×C22⋊C4)⋊12C2 = C11×C22.D4φ: C2/C1 → C2 ⊆ Out C11×C22⋊C4176(C11xC2^2:C4):12C2352,158
(C11×C22⋊C4)⋊13C2 = C11×C4.4D4φ: C2/C1 → C2 ⊆ Out C11×C22⋊C4176(C11xC2^2:C4):13C2352,159
(C11×C22⋊C4)⋊14C2 = D4×C44φ: trivial image176(C11xC2^2:C4):14C2352,153

Non-split extensions G=N.Q with N=C11×C22⋊C4 and Q=C2
extensionφ:Q→Out NdρLabelID
(C11×C22⋊C4).1C2 = C22⋊Dic22φ: C2/C1 → C2 ⊆ Out C11×C22⋊C4176(C11xC2^2:C4).1C2352,73
(C11×C22⋊C4).2C2 = C23.D22φ: C2/C1 → C2 ⊆ Out C11×C22⋊C4176(C11xC2^2:C4).2C2352,74
(C11×C22⋊C4).3C2 = C23.11D22φ: C2/C1 → C2 ⊆ Out C11×C22⋊C4176(C11xC2^2:C4).3C2352,72
(C11×C22⋊C4).4C2 = C11×C22⋊Q8φ: C2/C1 → C2 ⊆ Out C11×C22⋊C4176(C11xC2^2:C4).4C2352,157
(C11×C22⋊C4).5C2 = C11×C42⋊2C2φ: C2/C1 → C2 ⊆ Out C11×C22⋊C4176(C11xC2^2:C4).5C2352,161
(C11×C22⋊C4).6C2 = C11×C42⋊C2φ: trivial image176(C11xC2^2:C4).6C2352,152

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