Extensions 1→N→G→Q→1 with N=C₄⋊D₁₂ and Q=C₂

Direct product G=N×Q with N=C₄⋊D₁₂ and Q=C₂

		d	ρ	Label	ID
C₂×C₄⋊D₁₂		96		C2xC4:D12	192,1034

Semidirect products G=N:Q with N=C₄⋊D₁₂ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
C₄⋊D₁₂⋊₁C₂ = C₁₂⋊₄D₈	φ: C₂/C₁ → C₂ ⊆ Out C₄⋊D₁₂	96		C4:D12:1C2	192,254
C₄⋊D₁₂⋊₂C₂ = C₈⋊D₁₂	φ: C₂/C₁ → C₂ ⊆ Out C₄⋊D₁₂	96		C4:D12:2C2	192,271
C₄⋊D₁₂⋊₃C₂ = C₄²⋊₁₁D₆	φ: C₂/C₁ → C₂ ⊆ Out C₄⋊D₁₂	48		C4:D12:3C2	192,1084
C₄⋊D₁₂⋊₄C₂ = C₄².₁₀₀D₆	φ: C₂/C₁ → C₂ ⊆ Out C₄⋊D₁₂	96		C4:D12:4C2	192,1094
C₄⋊D₁₂⋊₅C₂ = C₄²⋊₂₇D₆	φ: C₂/C₁ → C₂ ⊆ Out C₄⋊D₁₂	48		C4:D12:5C2	192,1270
C₄⋊D₁₂⋊₆C₂ = Q₈⋊₅D₁₂	φ: C₂/C₁ → C₂ ⊆ Out C₄⋊D₁₂	24	4+	C4:D12:6C2	192,381
C₄⋊D₁₂⋊₇C₂ = C₄⋊D₂₄	φ: C₂/C₁ → C₂ ⊆ Out C₄⋊D₁₂	96		C4:D12:7C2	192,402
C₄⋊D₁₂⋊₈C₂ = C₁₂⋊₇D₈	φ: C₂/C₁ → C₂ ⊆ Out C₄⋊D₁₂	96		C4:D12:8C2	192,574
C₄⋊D₁₂⋊₉C₂ = C₄².₆₄D₆	φ: C₂/C₁ → C₂ ⊆ Out C₄⋊D₁₂	96		C4:D12:9C2	192,617
C₄⋊D₁₂⋊₁₀C₂ = C₁₂⋊D₈	φ: C₂/C₁ → C₂ ⊆ Out C₄⋊D₁₂	96		C4:D12:10C2	192,632
C₄⋊D₁₂⋊₁₁C₂ = D₄×D₁₂	φ: C₂/C₁ → C₂ ⊆ Out C₄⋊D₁₂	48		C4:D12:11C2	192,1108
C₄⋊D₁₂⋊₁₂C₂ = Dic₆⋊₂₄D₄	φ: C₂/C₁ → C₂ ⊆ Out C₄⋊D₁₂	96		C4:D12:12C2	192,1112
C₄⋊D₁₂⋊₁₃C₂ = Q₈⋊₇D₁₂	φ: C₂/C₁ → C₂ ⊆ Out C₄⋊D₁₂	96		C4:D12:13C2	192,1136
C₄⋊D₁₂⋊₁₄C₂ = C₄²⋊₂₀D₆	φ: C₂/C₁ → C₂ ⊆ Out C₄⋊D₁₂	48		C4:D12:14C2	192,1233
C₄⋊D₁₂⋊₁₅C₂ = C₄².₁₅₅D₆	φ: C₂/C₁ → C₂ ⊆ Out C₄⋊D₁₂	96		C4:D12:15C2	192,1256
C₄⋊D₁₂⋊₁₆C₂ = S₃×C₄⋊₁D₄	φ: C₂/C₁ → C₂ ⊆ Out C₄⋊D₁₂	48		C4:D12:16C2	192,1273
C₄⋊D₁₂⋊₁₇C₂ = C₄².₂₄₀D₆	φ: C₂/C₁ → C₂ ⊆ Out C₄⋊D₁₂	96		C4:D12:17C2	192,1284
C₄⋊D₁₂⋊₁₈C₂ = C₄².₂₇₆D₆	φ: trivial image	96		C4:D12:18C2	192,1036

Non-split extensions G=N.Q with N=C₄⋊D₁₂ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
C₄⋊D₁₂.₁C₂ = C₈⋊₅D₁₂	φ: C₂/C₁ → C₂ ⊆ Out C₄⋊D₁₂	96		C4:D12.1C2	192,252
C₄⋊D₁₂.₂C₂ = C₄.₅D₂₄	φ: C₂/C₁ → C₂ ⊆ Out C₄⋊D₁₂	96		C4:D12.2C2	192,253
C₄⋊D₁₂.₃C₂ = C₄².₁₉D₆	φ: C₂/C₁ → C₂ ⊆ Out C₄⋊D₁₂	96		C4:D12.3C2	192,272
C₄⋊D₁₂.₄C₂ = C₄.D₂₄	φ: C₂/C₁ → C₂ ⊆ Out C₄⋊D₁₂	96		C4:D12.4C2	192,44
C₄⋊D₁₂.₅C₂ = Dic₆⋊₈D₄	φ: C₂/C₁ → C₂ ⊆ Out C₄⋊D₁₂	96		C4:D12.5C2	192,407
C₄⋊D₁₂.₆C₂ = Q₈⋊₂D₁₂	φ: C₂/C₁ → C₂ ⊆ Out C₄⋊D₁₂	96		C4:D12.6C2	192,586
C₄⋊D₁₂.₇C₂ = C₄².₇₀D₆	φ: C₂/C₁ → C₂ ⊆ Out C₄⋊D₁₂	96		C4:D12.7C2	192,626
C₄⋊D₁₂.₈C₂ = C₁₂⋊₆SD₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₄⋊D₁₂	96		C4:D12.8C2	192,644
C₄⋊D₁₂.₉C₂ = C₁₂.D₈	φ: C₂/C₁ → C₂ ⊆ Out C₄⋊D₁₂	96		C4:D12.9C2	192,647
C₄⋊D₁₂.₁₀C₂ = C₄².₁₃₆D₆	φ: C₂/C₁ → C₂ ⊆ Out C₄⋊D₁₂	96		C4:D12.10C2	192,1144

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