Extensions 1→N→G→Q→1 with N=C₃×Dic₅ and Q=C₂

Direct product G=N×Q with N=C₃×Dic₅ and Q=C₂

		d	ρ	Label	ID
C₆×Dic₅		120		C6xDic5	120,19

Semidirect products G=N:Q with N=C₃×Dic₅ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₃×Dic₅)⋊₁C₂ = S₃×Dic₅	φ: C₂/C₁ → C₂ ⊆ Out C₃×Dic₅	60	4-	(C3xDic5):1C2	120,9
(C₃×Dic₅)⋊₂C₂ = D₃₀.C₂	φ: C₂/C₁ → C₂ ⊆ Out C₃×Dic₅	60	4+	(C3xDic5):2C2	120,10
(C₃×Dic₅)⋊₃C₂ = C₅⋊D₁₂	φ: C₂/C₁ → C₂ ⊆ Out C₃×Dic₅	60	4+	(C3xDic5):3C2	120,13
(C₃×Dic₅)⋊₄C₂ = C₃×C₅⋊D₄	φ: C₂/C₁ → C₂ ⊆ Out C₃×Dic₅	60	2	(C3xDic5):4C2	120,20
(C₃×Dic₅)⋊₅C₂ = D₅×C₁₂	φ: trivial image	60	2	(C3xDic5):5C2	120,17

Non-split extensions G=N.Q with N=C₃×Dic₅ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₃×Dic₅).₁C₂ = C₁₅⋊Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₃×Dic₅	120	4-	(C3xDic5).1C2	120,14
(C₃×Dic₅).₂C₂ = C₃×Dic₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₃×Dic₅	120	2	(C3xDic5).2C2	120,16
(C₃×Dic₅).₃C₂ = C₁₅⋊C₈	φ: C₂/C₁ → C₂ ⊆ Out C₃×Dic₅	120	4	(C3xDic5).3C2	120,7
(C₃×Dic₅).₄C₂ = C₃×C₅⋊C₈	φ: C₂/C₁ → C₂ ⊆ Out C₃×Dic₅	120	4	(C3xDic5).4C2	120,6

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