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

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

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

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

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂×C₆)⋊₁(C₅⋊C₈) = C₃×C₂³.₂F₅	φ: C₅⋊C₈/Dic₅ → C₂ ⊆ Aut C₂×C₆	240		(C2xC6):1(C5:C8)	480,292
(C₂×C₆)⋊₂(C₅⋊C₈) = C₃₀.₂₂M₄(2)	φ: C₅⋊C₈/Dic₅ → C₂ ⊆ Aut C₂×C₆	240		(C2xC6):2(C5:C8)	480,317
(C₂×C₆)⋊₃(C₅⋊C₈) = C₂²×C₁₅⋊C₈	φ: C₅⋊C₈/Dic₅ → C₂ ⊆ Aut C₂×C₆	480		(C2xC6):3(C5:C8)	480,1070

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

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂×C₆).₁(C₅⋊C₈) = C₃×C₂₀.C₈	φ: C₅⋊C₈/Dic₅ → C₂ ⊆ Aut C₂×C₆	240	4	(C2xC6).1(C5:C8)	480,278
(C₂×C₆).₂(C₅⋊C₈) = C₂×C₁₅⋊C₁₆	φ: C₅⋊C₈/Dic₅ → C₂ ⊆ Aut C₂×C₆	480		(C2xC6).2(C5:C8)	480,302
(C₂×C₆).₃(C₅⋊C₈) = C₆₀.C₈	φ: C₅⋊C₈/Dic₅ → C₂ ⊆ Aut C₂×C₆	240	4	(C2xC6).3(C5:C8)	480,303
(C₂×C₆).₄(C₅⋊C₈) = C₆×C₅⋊C₁₆	central extension (φ=1)	480		(C2xC6).4(C5:C8)	480,277

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