Extensions 1→N→G→Q→1 with N=C₅⋊D₄ and Q=C₂×C₆

Direct product G=N×Q with N=C₅⋊D₄ and Q=C₂×C₆

		d	ρ	Label	ID
C₂×C₆×C₅⋊D₄		240		C2xC6xC5:D4	480,1149

Semidirect products G=N:Q with N=C₅⋊D₄ and Q=C₂×C₆

extension	φ:Q→Out N	d	ρ	Label	ID
C₅⋊D₄⋊₁(C₂×C₆) = C₆×D₄×D₅	φ: C₂×C₆/C₆ → C₂ ⊆ Out C₅⋊D₄	120		C5:D4:1(C2xC6)	480,1139
C₅⋊D₄⋊₂(C₂×C₆) = C₆×D₄⋊₂D₅	φ: C₂×C₆/C₆ → C₂ ⊆ Out C₅⋊D₄	240		C5:D4:2(C2xC6)	480,1140
C₅⋊D₄⋊₃(C₂×C₆) = C₃×D₄⋊₆D₁₀	φ: C₂×C₆/C₆ → C₂ ⊆ Out C₅⋊D₄	120	4	C5:D4:3(C2xC6)	480,1141
C₅⋊D₄⋊₄(C₂×C₆) = C₃×D₅×C₄○D₄	φ: C₂×C₆/C₆ → C₂ ⊆ Out C₅⋊D₄	120	4	C5:D4:4(C2xC6)	480,1145
C₅⋊D₄⋊₅(C₂×C₆) = C₃×D₄⋊₈D₁₀	φ: C₂×C₆/C₆ → C₂ ⊆ Out C₅⋊D₄	120	4	C5:D4:5(C2xC6)	480,1146
C₅⋊D₄⋊₆(C₂×C₆) = C₆×C₄○D₂₀	φ: trivial image	240		C5:D4:6(C2xC6)	480,1138

Non-split extensions G=N.Q with N=C₅⋊D₄ and Q=C₂×C₆

extension	φ:Q→Out N	d	ρ	Label	ID
C₅⋊D₄.(C₂×C₆) = C₃×D₄.₁₀D₁₀	φ: C₂×C₆/C₆ → C₂ ⊆ Out C₅⋊D₄	240	4	C5:D4.(C2xC6)	480,1147
C₅⋊D₄.₂(C₂×C₆) = C₃×Q₈.₁₀D₁₀	φ: trivial image	240	4	C5:D4.2(C2xC6)	480,1144

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