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Extensions 1→N→G→Q→1 with N=C2×C11⋊D4 and Q=C2

Direct product G=N×Q with N=C2×C11⋊D4 and Q=C2
dρLabelID
C22×C11⋊D4176C2^2xC11:D4352,187

Semidirect products G=N:Q with N=C2×C11⋊D4 and Q=C2
extensionφ:Q→Out NdρLabelID
(C2×C11⋊D4)⋊1C2 = C22⋊D44φ: C2/C1 → C2 ⊆ Out C2×C11⋊D488(C2xC11:D4):1C2352,77
(C2×C11⋊D4)⋊2C2 = D22⋊D4φ: C2/C1 → C2 ⊆ Out C2×C11⋊D4176(C2xC11:D4):2C2352,79
(C2×C11⋊D4)⋊3C2 = C44⋊7D4φ: C2/C1 → C2 ⊆ Out C2×C11⋊D4176(C2xC11:D4):3C2352,125
(C2×C11⋊D4)⋊4C2 = C23⋊D22φ: C2/C1 → C2 ⊆ Out C2×C11⋊D488(C2xC11:D4):4C2352,132
(C2×C11⋊D4)⋊5C2 = C44⋊2D4φ: C2/C1 → C2 ⊆ Out C2×C11⋊D4176(C2xC11:D4):5C2352,133
(C2×C11⋊D4)⋊6C2 = Dic11⋊D4φ: C2/C1 → C2 ⊆ Out C2×C11⋊D4176(C2xC11:D4):6C2352,134
(C2×C11⋊D4)⋊7C2 = C44⋊D4φ: C2/C1 → C2 ⊆ Out C2×C11⋊D4176(C2xC11:D4):7C2352,135
(C2×C11⋊D4)⋊8C2 = C24⋊D11φ: C2/C1 → C2 ⊆ Out C2×C11⋊D488(C2xC11:D4):8C2352,148
(C2×C11⋊D4)⋊9C2 = C2×D4×D11φ: C2/C1 → C2 ⊆ Out C2×C11⋊D488(C2xC11:D4):9C2352,177
(C2×C11⋊D4)⋊10C2 = C2×D4⋊2D11φ: C2/C1 → C2 ⊆ Out C2×C11⋊D4176(C2xC11:D4):10C2352,178
(C2×C11⋊D4)⋊11C2 = D4⋊6D22φ: C2/C1 → C2 ⊆ Out C2×C11⋊D4884(C2xC11:D4):11C2352,179
(C2×C11⋊D4)⋊12C2 = C2×D44⋊5C2φ: trivial image176(C2xC11:D4):12C2352,176

Non-split extensions G=N.Q with N=C2×C11⋊D4 and Q=C2
extensionφ:Q→Out NdρLabelID
(C2×C11⋊D4).1C2 = C22.2D44φ: C2/C1 → C2 ⊆ Out C2×C11⋊D4884(C2xC11:D4).1C2352,12
(C2×C11⋊D4).2C2 = Dic11⋊4D4φ: C2/C1 → C2 ⊆ Out C2×C11⋊D4176(C2xC11:D4).2C2352,76
(C2×C11⋊D4).3C2 = D22.D4φ: C2/C1 → C2 ⊆ Out C2×C11⋊D4176(C2xC11:D4).3C2352,78
(C2×C11⋊D4).4C2 = Dic11.D4φ: C2/C1 → C2 ⊆ Out C2×C11⋊D4176(C2xC11:D4).4C2352,80
(C2×C11⋊D4).5C2 = C22.D44φ: C2/C1 → C2 ⊆ Out C2×C11⋊D4176(C2xC11:D4).5C2352,81
(C2×C11⋊D4).6C2 = C23.23D22φ: C2/C1 → C2 ⊆ Out C2×C11⋊D4176(C2xC11:D4).6C2352,124
(C2×C11⋊D4).7C2 = C4×C11⋊D4φ: trivial image176(C2xC11:D4).7C2352,123

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