Extensions 1→N→G→Q→1 with N=C₁₂.F₅ and Q=C₂

Direct product G=N×Q with N=C₁₂.F₅ and Q=C₂

		d	ρ	Label	ID
C₂×C₁₂.F₅		240		C2xC12.F5	480,1061

Semidirect products G=N:Q with N=C₁₂.F₅ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
C₁₂.F₅⋊₁C₂ = D₁₂⋊₂F₅	φ: C₂/C₁ → C₂ ⊆ Out C₁₂.F₅	120	8-	C12.F5:1C2	480,232
C₁₂.F₅⋊₂C₂ = D₆₀⋊₅C₄	φ: C₂/C₁ → C₂ ⊆ Out C₁₂.F₅	120	8+	C12.F5:2C2	480,234
C₁₂.F₅⋊₃C₂ = D₁₂.₂F₅	φ: C₂/C₁ → C₂ ⊆ Out C₁₂.F₅	240	8-	C12.F5:3C2	480,987
C₁₂.F₅⋊₄C₂ = D₆₀.C₄	φ: C₂/C₁ → C₂ ⊆ Out C₁₂.F₅	240	8+	C12.F5:4C2	480,990
C₁₂.F₅⋊₅C₂ = S₃×C₄.F₅	φ: C₂/C₁ → C₂ ⊆ Out C₁₂.F₅	120	8	C12.F5:5C2	480,988
C₁₂.F₅⋊₆C₂ = D₁₅⋊M₄(2)	φ: C₂/C₁ → C₂ ⊆ Out C₁₂.F₅	120	8	C12.F5:6C2	480,991
C₁₂.F₅⋊₇C₂ = Dic₁₀⋊Dic₃	φ: C₂/C₁ → C₂ ⊆ Out C₁₂.F₅	120	8	C12.F5:7C2	480,313
C₁₂.F₅⋊₈C₂ = D₂₀⋊₂Dic₃	φ: C₂/C₁ → C₂ ⊆ Out C₁₂.F₅	120	8	C12.F5:8C2	480,315
C₁₂.F₅⋊₉C₂ = Dic₁₀.Dic₃	φ: C₂/C₁ → C₂ ⊆ Out C₁₂.F₅	240	8	C12.F5:9C2	480,1066
C₁₂.F₅⋊₁₀C₂ = D₂₀.Dic₃	φ: C₂/C₁ → C₂ ⊆ Out C₁₂.F₅	240	8	C12.F5:10C2	480,1068
C₁₂.F₅⋊₁₁C₂ = C₆₀.₅₉(C₂×C₄)	φ: trivial image	120	4	C12.F5:11C2	480,1062

Non-split extensions G=N.Q with N=C₁₂.F₅ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
C₁₂.F₅.₁C₂ = D₁₀.Dic₆	φ: C₂/C₁ → C₂ ⊆ Out C₁₂.F₅	240	8	C12.F5.1C2	480,237
C₁₂.F₅.₂C₂ = D₁₀.₂Dic₆	φ: C₂/C₁ → C₂ ⊆ Out C₁₂.F₅	240	8	C12.F5.2C2	480,238
C₁₂.F₅.₃C₂ = C₄₀.Dic₃	φ: C₂/C₁ → C₂ ⊆ Out C₁₂.F₅	240	4	C12.F5.3C2	480,300
C₁₂.F₅.₄C₂ = C₂₄.₁F₅	φ: C₂/C₁ → C₂ ⊆ Out C₁₂.F₅	240	4	C12.F5.4C2	480,301

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