Extensions 1→N→G→Q→1 with N=D₁₁₂ and Q=C₂

Direct product G=N×Q with N=D₁₁₂ and Q=C₂

		d	ρ	Label	ID
C₂×D₁₁₂		224		C2xD112	448,436

Semidirect products G=N:Q with N=D₁₁₂ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
D₁₁₂⋊₁C₂ = D₂₂₄	φ: C₂/C₁ → C₂ ⊆ Out D₁₁₂	224	2+	D112:1C2	448,5
D₁₁₂⋊₂C₂ = C₁₆⋊D₁₄	φ: C₂/C₁ → C₂ ⊆ Out D₁₁₂	112	4+	D112:2C2	448,442
D₁₁₂⋊₃C₂ = C₇⋊D₃₂	φ: C₂/C₁ → C₂ ⊆ Out D₁₁₂	224	4+	D112:3C2	448,76
D₁₁₂⋊₄C₂ = D₇×D₁₆	φ: C₂/C₁ → C₂ ⊆ Out D₁₁₂	112	4+	D112:4C2	448,444
D₁₁₂⋊₅C₂ = Q₃₂⋊₃D₇	φ: C₂/C₁ → C₂ ⊆ Out D₁₁₂	224	4+	D112:5C2	448,453
D₁₁₂⋊₆C₂ = D₁₁₂⋊C₂	φ: C₂/C₁ → C₂ ⊆ Out D₁₁₂	112	4+	D112:6C2	448,448
D₁₁₂⋊₇C₂ = D₁₁₂⋊₇C₂	φ: trivial image	224	2	D112:7C2	448,438

Non-split extensions G=N.Q with N=D₁₁₂ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
D₁₁₂.₁C₂ = C₂₂₄⋊C₂	φ: C₂/C₁ → C₂ ⊆ Out D₁₁₂	224	2	D112.1C2	448,6
D₁₁₂.₂C₂ = C₇⋊SD₆₄	φ: C₂/C₁ → C₂ ⊆ Out D₁₁₂	224	4+	D112.2C2	448,78

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