Extensions 1→N→G→Q→1 with N=C₂×C₆ and Q=C₅×Q₈

Direct product G=N×Q with N=C₂×C₆ and Q=C₅×Q₈

		d	ρ	Label	ID
Q₈×C₂×C₃₀		480		Q8xC2xC30	480,1182

Semidirect products G=N:Q with N=C₂×C₆ and Q=C₅×Q₈

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂×C₆)⋊(C₅×Q₈) = C₅×Dic₃.D₄	φ: C₅×Q₈/C₁₀ → C₂² ⊆ Aut C₂×C₆	240		(C2xC6):(C5xQ8)	480,757
(C₂×C₆)⋊₂(C₅×Q₈) = C₁₅×C₂²⋊Q₈	φ: C₅×Q₈/C₂₀ → C₂ ⊆ Aut C₂×C₆	240		(C2xC6):2(C5xQ8)	480,927
(C₂×C₆)⋊₃(C₅×Q₈) = C₅×C₁₂.₄₈D₄	φ: C₅×Q₈/C₂₀ → C₂ ⊆ Aut C₂×C₆	240		(C2xC6):3(C5xQ8)	480,803
(C₂×C₆)⋊₄(C₅×Q₈) = C₂×C₁₀×Dic₆	φ: C₅×Q₈/C₂₀ → C₂ ⊆ Aut C₂×C₆	480		(C2xC6):4(C5xQ8)	480,1150

Non-split extensions G=N.Q with N=C₂×C₆ and Q=C₅×Q₈

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂×C₆).(C₅×Q₈) = C₅×C₁₂.₅₃D₄	φ: C₅×Q₈/C₁₀ → C₂² ⊆ Aut C₂×C₆	240	4	(C2xC6).(C5xQ8)	480,141
(C₂×C₆).₂(C₅×Q₈) = C₁₅×C₈.C₄	φ: C₅×Q₈/C₂₀ → C₂ ⊆ Aut C₂×C₆	240	2	(C2xC6).2(C5xQ8)	480,211
(C₂×C₆).₃(C₅×Q₈) = C₅×C₂₄.C₄	φ: C₅×Q₈/C₂₀ → C₂ ⊆ Aut C₂×C₆	240	2	(C2xC6).3(C5xQ8)	480,138
(C₂×C₆).₄(C₅×Q₈) = C₅×C₆.C₄²	φ: C₅×Q₈/C₂₀ → C₂ ⊆ Aut C₂×C₆	480		(C2xC6).4(C5xQ8)	480,150
(C₂×C₆).₅(C₅×Q₈) = C₁₀×Dic₃⋊C₄	φ: C₅×Q₈/C₂₀ → C₂ ⊆ Aut C₂×C₆	480		(C2xC6).5(C5xQ8)	480,802
(C₂×C₆).₆(C₅×Q₈) = C₁₀×C₄⋊Dic₃	φ: C₅×Q₈/C₂₀ → C₂ ⊆ Aut C₂×C₆	480		(C2xC6).6(C5xQ8)	480,804
(C₂×C₆).₇(C₅×Q₈) = C₁₅×C₂.C₄²	central extension (φ=1)	480		(C2xC6).7(C5xQ8)	480,198
(C₂×C₆).₈(C₅×Q₈) = C₄⋊C₄×C₃₀	central extension (φ=1)	480		(C2xC6).8(C5xQ8)	480,921

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