Extensions 1→N→G→Q→1 with N=C₅⋊D₁₂ and Q=C₄

Direct product G=N×Q with N=C₅⋊D₁₂ and Q=C₄

		d	ρ	Label	ID
C₄×C₅⋊D₁₂		240		C4xC5:D12	480,521

Semidirect products G=N:Q with N=C₅⋊D₁₂ and Q=C₄

extension	φ:Q→Out N	d	ρ	Label	ID
C₅⋊D₁₂⋊₁C₄ = F₅×D₁₂	φ: C₄/C₁ → C₄ ⊆ Out C₅⋊D₁₂	60	8+	C5:D12:1C4	480,995
C₅⋊D₁₂⋊₂C₄ = D₆₀⋊₃C₄	φ: C₄/C₁ → C₄ ⊆ Out C₅⋊D₁₂	60	8+	C5:D12:2C4	480,997
C₅⋊D₁₂⋊₃C₄ = Dic₅⋊₄D₁₂	φ: C₄/C₂ → C₂ ⊆ Out C₅⋊D₁₂	240		C5:D12:3C4	480,481
C₅⋊D₁₂⋊₄C₄ = Dic₁₅⋊₁₄D₄	φ: C₄/C₂ → C₂ ⊆ Out C₅⋊D₁₂	240		C5:D12:4C4	480,482
C₅⋊D₁₂⋊₅C₄ = C₁₅⋊₂₂(C₄×D₄)	φ: C₄/C₂ → C₂ ⊆ Out C₅⋊D₁₂	240		C5:D12:5C4	480,522

Non-split extensions G=N.Q with N=C₅⋊D₁₂ and Q=C₄

extension	φ:Q→Out N	d	ρ	Label	ID
C₅⋊D₁₂.₁C₄ = C₅⋊C₈.D₆	φ: C₄/C₁ → C₄ ⊆ Out C₅⋊D₁₂	240	8	C5:D12.1C4	480,1003
C₅⋊D₁₂.₂C₄ = D₁₅⋊C₈⋊C₂	φ: C₄/C₁ → C₄ ⊆ Out C₅⋊D₁₂	240	8	C5:D12.2C4	480,1005
C₅⋊D₁₂.₃C₄ = C₄₀.₃₄D₆	φ: C₄/C₂ → C₂ ⊆ Out C₅⋊D₁₂	240	4	C5:D12.3C4	480,342
C₅⋊D₁₂.₄C₄ = C₄₀.₅₅D₆	φ: C₄/C₂ → C₂ ⊆ Out C₅⋊D₁₂	240	4	C5:D12.4C4	480,343
C₅⋊D₁₂.₅C₄ = C₄₀.₃₅D₆	φ: C₄/C₂ → C₂ ⊆ Out C₅⋊D₁₂	240	4	C5:D12.5C4	480,344
C₅⋊D₁₂.₆C₄ = C₄₀.₅₄D₆	φ: trivial image	240	4	C5:D12.6C4	480,341

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