Extensions 1→N→G→Q→1 with N=C₂×C₆ and Q=C₅⋊₂C₈

Direct product G=N×Q with N=C₂×C₆ and Q=C₅⋊₂C₈

		d	ρ	Label	ID
C₂×C₆×C₅⋊₂C₈		480		C2xC6xC5:2C8	480,713

Semidirect products G=N:Q with N=C₂×C₆ and Q=C₅⋊₂C₈

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂×C₆)⋊₁(C₅⋊₂C₈) = C₃×C₂₀.₅₅D₄	φ: C₅⋊₂C₈/C₂₀ → C₂ ⊆ Aut C₂×C₆	240		(C2xC6):1(C5:2C8)	480,108
(C₂×C₆)⋊₂(C₅⋊₂C₈) = C₆₀.₂₁₂D₄	φ: C₅⋊₂C₈/C₂₀ → C₂ ⊆ Aut C₂×C₆	240		(C2xC6):2(C5:2C8)	480,190
(C₂×C₆)⋊₃(C₅⋊₂C₈) = C₂²×C₁₅⋊₃C₈	φ: C₅⋊₂C₈/C₂₀ → C₂ ⊆ Aut C₂×C₆	480		(C2xC6):3(C5:2C8)	480,885

Non-split extensions G=N.Q with N=C₂×C₆ and Q=C₅⋊₂C₈

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂×C₆).₁(C₅⋊₂C₈) = C₃×C₂₀.₄C₈	φ: C₅⋊₂C₈/C₂₀ → C₂ ⊆ Aut C₂×C₆	240	2	(C2xC6).1(C5:2C8)	480,90
(C₂×C₆).₂(C₅⋊₂C₈) = C₂×C₁₅⋊₃C₁₆	φ: C₅⋊₂C₈/C₂₀ → C₂ ⊆ Aut C₂×C₆	480		(C2xC6).2(C5:2C8)	480,171
(C₂×C₆).₃(C₅⋊₂C₈) = C₆₀.₇C₈	φ: C₅⋊₂C₈/C₂₀ → C₂ ⊆ Aut C₂×C₆	240	2	(C2xC6).3(C5:2C8)	480,172
(C₂×C₆).₄(C₅⋊₂C₈) = C₆×C₅⋊₂C₁₆	central extension (φ=1)	480		(C2xC6).4(C5:2C8)	480,89

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