Extensions 1→N→G→Q→1 with N=C₅⋊C₈ and Q=C₂×C₆

Direct product G=N×Q with N=C₅⋊C₈ and Q=C₂×C₆

		d	ρ	Label	ID
C₂×C₆×C₅⋊C₈		480		C2xC6xC5:C8	480,1057

Semidirect products G=N:Q with N=C₅⋊C₈ and Q=C₂×C₆

extension	φ:Q→Out N	d	ρ	Label	ID
C₅⋊C₈⋊₁(C₂×C₆) = C₆×C₄.F₅	φ: C₂×C₆/C₆ → C₂ ⊆ Out C₅⋊C₈	240		C5:C8:1(C2xC6)	480,1048
C₅⋊C₈⋊₂(C₂×C₆) = C₃×D₅⋊M₄(2)	φ: C₂×C₆/C₆ → C₂ ⊆ Out C₅⋊C₈	120	4	C5:C8:2(C2xC6)	480,1049
C₅⋊C₈⋊₃(C₂×C₆) = C₆×C₂².F₅	φ: C₂×C₆/C₆ → C₂ ⊆ Out C₅⋊C₈	240		C5:C8:3(C2xC6)	480,1058
C₅⋊C₈⋊₄(C₂×C₆) = C₆×D₅⋊C₈	φ: trivial image	240		C5:C8:4(C2xC6)	480,1047

Non-split extensions G=N.Q with N=C₅⋊C₈ and Q=C₂×C₆

extension	φ:Q→Out N	d	ρ	Label	ID
C₅⋊C₈.₁(C₂×C₆) = C₃×D₄.F₅	φ: C₂×C₆/C₆ → C₂ ⊆ Out C₅⋊C₈	240	8	C5:C8.1(C2xC6)	480,1053
C₅⋊C₈.₂(C₂×C₆) = C₃×Q₈.F₅	φ: C₂×C₆/C₆ → C₂ ⊆ Out C₅⋊C₈	240	8	C5:C8.2(C2xC6)	480,1055

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