Extensions 1→N→G→Q→1 with N=C₅×Dic₃ and Q=C₂

Direct product G=N×Q with N=C₅×Dic₃ and Q=C₂

		d	ρ	Label	ID
C₁₀×Dic₃		120		C10xDic3	120,24

Semidirect products G=N:Q with N=C₅×Dic₃ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₅×Dic₃)⋊₁C₂ = D₅×Dic₃	φ: C₂/C₁ → C₂ ⊆ Out C₅×Dic₃	60	4-	(C5xDic3):1C2	120,8
(C₅×Dic₃)⋊₂C₂ = D₃₀.C₂	φ: C₂/C₁ → C₂ ⊆ Out C₅×Dic₃	60	4+	(C5xDic3):2C2	120,10
(C₅×Dic₃)⋊₃C₂ = C₃⋊D₂₀	φ: C₂/C₁ → C₂ ⊆ Out C₅×Dic₃	60	4+	(C5xDic3):3C2	120,12
(C₅×Dic₃)⋊₄C₂ = C₅×C₃⋊D₄	φ: C₂/C₁ → C₂ ⊆ Out C₅×Dic₃	60	2	(C5xDic3):4C2	120,25
(C₅×Dic₃)⋊₅C₂ = S₃×C₂₀	φ: trivial image	60	2	(C5xDic3):5C2	120,22

Non-split extensions G=N.Q with N=C₅×Dic₃ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₅×Dic₃).₁C₂ = C₁₅⋊Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₅×Dic₃	120	4-	(C5xDic3).1C2	120,14
(C₅×Dic₃).₂C₂ = C₅×Dic₆	φ: C₂/C₁ → C₂ ⊆ Out C₅×Dic₃	120	2	(C5xDic3).2C2	120,21

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