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

Direct product G=N×Q with N=C11×C4⋊C4 and Q=C2
dρLabelID
C4⋊C4×C22352C4:C4xC22352,151

Semidirect products G=N:Q with N=C11×C4⋊C4 and Q=C2
extensionφ:Q→Out NdρLabelID
(C11×C4⋊C4)⋊1C2 = C22.D8φ: C2/C1 → C2 ⊆ Out C11×C4⋊C4176(C11xC4:C4):1C2352,15
(C11×C4⋊C4)⋊2C2 = C4⋊C4×D11φ: C2/C1 → C2 ⊆ Out C11×C4⋊C4176(C11xC4:C4):2C2352,86
(C11×C4⋊C4)⋊3C2 = C4⋊C4⋊7D11φ: C2/C1 → C2 ⊆ Out C11×C4⋊C4176(C11xC4:C4):3C2352,87
(C11×C4⋊C4)⋊4C2 = D44⋊C4φ: C2/C1 → C2 ⊆ Out C11×C4⋊C4176(C11xC4:C4):4C2352,88
(C11×C4⋊C4)⋊5C2 = D22.5D4φ: C2/C1 → C2 ⊆ Out C11×C4⋊C4176(C11xC4:C4):5C2352,89
(C11×C4⋊C4)⋊6C2 = C4⋊2D44φ: C2/C1 → C2 ⊆ Out C11×C4⋊C4176(C11xC4:C4):6C2352,90
(C11×C4⋊C4)⋊7C2 = D22⋊Q8φ: C2/C1 → C2 ⊆ Out C11×C4⋊C4176(C11xC4:C4):7C2352,91
(C11×C4⋊C4)⋊8C2 = D22⋊2Q8φ: C2/C1 → C2 ⊆ Out C11×C4⋊C4176(C11xC4:C4):8C2352,92
(C11×C4⋊C4)⋊9C2 = C4⋊C4⋊D11φ: C2/C1 → C2 ⊆ Out C11×C4⋊C4176(C11xC4:C4):9C2352,93
(C11×C4⋊C4)⋊10C2 = C11×D4⋊C4φ: C2/C1 → C2 ⊆ Out C11×C4⋊C4176(C11xC4:C4):10C2352,51
(C11×C4⋊C4)⋊11C2 = C11×C4⋊D4φ: C2/C1 → C2 ⊆ Out C11×C4⋊C4176(C11xC4:C4):11C2352,156
(C11×C4⋊C4)⋊12C2 = C11×C22⋊Q8φ: C2/C1 → C2 ⊆ Out C11×C4⋊C4176(C11xC4:C4):12C2352,157
(C11×C4⋊C4)⋊13C2 = C11×C22.D4φ: C2/C1 → C2 ⊆ Out C11×C4⋊C4176(C11xC4:C4):13C2352,158
(C11×C4⋊C4)⋊14C2 = C11×C42⋊2C2φ: C2/C1 → C2 ⊆ Out C11×C4⋊C4176(C11xC4:C4):14C2352,161
(C11×C4⋊C4)⋊15C2 = C11×C42⋊C2φ: trivial image176(C11xC4:C4):15C2352,152
(C11×C4⋊C4)⋊16C2 = D4×C44φ: trivial image176(C11xC4:C4):16C2352,153

Non-split extensions G=N.Q with N=C11×C4⋊C4 and Q=C2
extensionφ:Q→Out NdρLabelID
(C11×C4⋊C4).1C2 = C44.Q8φ: C2/C1 → C2 ⊆ Out C11×C4⋊C4352(C11xC4:C4).1C2352,13
(C11×C4⋊C4).2C2 = C4.Dic22φ: C2/C1 → C2 ⊆ Out C11×C4⋊C4352(C11xC4:C4).2C2352,14
(C11×C4⋊C4).3C2 = C22.Q16φ: C2/C1 → C2 ⊆ Out C11×C4⋊C4352(C11xC4:C4).3C2352,16
(C11×C4⋊C4).4C2 = Dic22⋊C4φ: C2/C1 → C2 ⊆ Out C11×C4⋊C4352(C11xC4:C4).4C2352,82
(C11×C4⋊C4).5C2 = C44⋊Q8φ: C2/C1 → C2 ⊆ Out C11×C4⋊C4352(C11xC4:C4).5C2352,83
(C11×C4⋊C4).6C2 = Dic11.Q8φ: C2/C1 → C2 ⊆ Out C11×C4⋊C4352(C11xC4:C4).6C2352,84
(C11×C4⋊C4).7C2 = C44.3Q8φ: C2/C1 → C2 ⊆ Out C11×C4⋊C4352(C11xC4:C4).7C2352,85
(C11×C4⋊C4).8C2 = C11×Q8⋊C4φ: C2/C1 → C2 ⊆ Out C11×C4⋊C4352(C11xC4:C4).8C2352,52
(C11×C4⋊C4).9C2 = C11×C4.Q8φ: C2/C1 → C2 ⊆ Out C11×C4⋊C4352(C11xC4:C4).9C2352,55
(C11×C4⋊C4).10C2 = C11×C2.D8φ: C2/C1 → C2 ⊆ Out C11×C4⋊C4352(C11xC4:C4).10C2352,56
(C11×C4⋊C4).11C2 = C11×C42.C2φ: C2/C1 → C2 ⊆ Out C11×C4⋊C4352(C11xC4:C4).11C2352,160
(C11×C4⋊C4).12C2 = C11×C4⋊Q8φ: C2/C1 → C2 ⊆ Out C11×C4⋊C4352(C11xC4:C4).12C2352,163
(C11×C4⋊C4).13C2 = Q8×C44φ: trivial image352(C11xC4:C4).13C2352,154

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