Extensions 1→N→G→Q→1 with N=C₂×C₆ and Q=Dic₅

Direct product G=N×Q with N=C₂×C₆ and Q=Dic₅

		d	ρ	Label	ID
C₂×C₆×Dic₅		240		C2xC6xDic5	240,163

Semidirect products G=N:Q with N=C₂×C₆ and Q=Dic₅

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂×C₆)⋊₁Dic₅ = C₃×C₂³.D₅	φ: Dic₅/C₁₀ → C₂ ⊆ Aut C₂×C₆	120		(C2xC6):1Dic5	240,48
(C₂×C₆)⋊₂Dic₅ = C₃₀.₃₈D₄	φ: Dic₅/C₁₀ → C₂ ⊆ Aut C₂×C₆	120		(C2xC6):2Dic5	240,80
(C₂×C₆)⋊₃Dic₅ = C₂²×Dic₁₅	φ: Dic₅/C₁₀ → C₂ ⊆ Aut C₂×C₆	240		(C2xC6):3Dic5	240,183

Non-split extensions G=N.Q with N=C₂×C₆ and Q=Dic₅

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂×C₆).₁Dic₅ = C₃×C₄.Dic₅	φ: Dic₅/C₁₀ → C₂ ⊆ Aut C₂×C₆	120	2	(C2xC6).1Dic5	240,39
(C₂×C₆).₂Dic₅ = C₂×C₁₅⋊₃C₈	φ: Dic₅/C₁₀ → C₂ ⊆ Aut C₂×C₆	240		(C2xC6).2Dic5	240,70
(C₂×C₆).₃Dic₅ = C₆₀.₇C₄	φ: Dic₅/C₁₀ → C₂ ⊆ Aut C₂×C₆	120	2	(C2xC6).3Dic5	240,71
(C₂×C₆).₄Dic₅ = C₆×C₅⋊₂C₈	central extension (φ=1)	240		(C2xC6).4Dic5	240,38

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