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

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

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

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

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂×Dic₅)⋊₁C₆ = C₃×D₁₀⋊C₄	φ: C₆/C₃ → C₂ ⊆ Out C₂×Dic₅	120		(C2xDic5):1C6	240,43
(C₂×Dic₅)⋊₂C₆ = C₃×C₂³.D₅	φ: C₆/C₃ → C₂ ⊆ Out C₂×Dic₅	120		(C2xDic5):2C6	240,48
(C₂×Dic₅)⋊₃C₆ = C₃×D₄⋊₂D₅	φ: C₆/C₃ → C₂ ⊆ Out C₂×Dic₅	120	4	(C2xDic5):3C6	240,160
(C₂×Dic₅)⋊₄C₆ = C₆×C₅⋊D₄	φ: C₆/C₃ → C₂ ⊆ Out C₂×Dic₅	120		(C2xDic5):4C6	240,164
(C₂×Dic₅)⋊₅C₆ = D₅×C₂×C₁₂	φ: trivial image	120		(C2xDic5):5C6	240,156

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

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂×Dic₅).₁C₆ = C₃×C₁₀.D₄	φ: C₆/C₃ → C₂ ⊆ Out C₂×Dic₅	240		(C2xDic5).1C6	240,41
(C₂×Dic₅).₂C₆ = C₃×C₄⋊Dic₅	φ: C₆/C₃ → C₂ ⊆ Out C₂×Dic₅	240		(C2xDic5).2C6	240,42
(C₂×Dic₅).₃C₆ = C₆×Dic₁₀	φ: C₆/C₃ → C₂ ⊆ Out C₂×Dic₅	240		(C2xDic5).3C6	240,155
(C₂×Dic₅).₄C₆ = C₆×C₅⋊C₈	φ: C₆/C₃ → C₂ ⊆ Out C₂×Dic₅	240		(C2xDic5).4C6	240,115
(C₂×Dic₅).₅C₆ = C₃×C₂².F₅	φ: C₆/C₃ → C₂ ⊆ Out C₂×Dic₅	120	4	(C2xDic5).5C6	240,116
(C₂×Dic₅).₆C₆ = C₁₂×Dic₅	φ: trivial image	240		(C2xDic5).6C6	240,40

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