Extensions 1→N→G→Q→1 with N=C₅×Dic₆ and Q=C₂

Direct product G=N×Q with N=C₅×Dic₆ and Q=C₂

		d	ρ	Label	ID
C₁₀×Dic₆		240		C10xDic6	240,165

Semidirect products G=N:Q with N=C₅×Dic₆ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₅×Dic₆)⋊₁C₂ = Dic₆⋊D₅	φ: C₂/C₁ → C₂ ⊆ Out C₅×Dic₆	120	4+	(C5xDic6):1C2	240,21
(C₅×Dic₆)⋊₂C₂ = D₅×Dic₆	φ: C₂/C₁ → C₂ ⊆ Out C₅×Dic₆	120	4-	(C5xDic6):2C2	240,125
(C₅×Dic₆)⋊₃C₂ = C₁₂.₂₈D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₅×Dic₆	120	4+	(C5xDic6):3C2	240,134
(C₅×Dic₆)⋊₄C₂ = C₃₀.D₄	φ: C₂/C₁ → C₂ ⊆ Out C₅×Dic₆	120	4	(C5xDic6):4C2	240,16
(C₅×Dic₆)⋊₅C₂ = D₂₀⋊S₃	φ: C₂/C₁ → C₂ ⊆ Out C₅×Dic₆	120	4	(C5xDic6):5C2	240,127
(C₅×Dic₆)⋊₆C₂ = D₁₅⋊Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₅×Dic₆	120	4	(C5xDic6):6C2	240,131
(C₅×Dic₆)⋊₇C₂ = C₅×C₂₄⋊C₂	φ: C₂/C₁ → C₂ ⊆ Out C₅×Dic₆	120	2	(C5xDic6):7C2	240,51
(C₅×Dic₆)⋊₈C₂ = C₅×D₄.S₃	φ: C₂/C₁ → C₂ ⊆ Out C₅×Dic₆	120	4	(C5xDic6):8C2	240,61
(C₅×Dic₆)⋊₉C₂ = C₅×D₄⋊₂S₃	φ: C₂/C₁ → C₂ ⊆ Out C₅×Dic₆	120	4	(C5xDic6):9C2	240,170
(C₅×Dic₆)⋊₁₀C₂ = C₅×S₃×Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₅×Dic₆	120	4	(C5xDic6):10C2	240,171
(C₅×Dic₆)⋊₁₁C₂ = C₅×C₄○D₁₂	φ: trivial image	120	2	(C5xDic6):11C2	240,168

Non-split extensions G=N.Q with N=C₅×Dic₆ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₅×Dic₆).₁C₂ = C₅⋊Dic₁₂	φ: C₂/C₁ → C₂ ⊆ Out C₅×Dic₆	240	4-	(C5xDic6).1C2	240,24
(C₅×Dic₆).₂C₂ = C₁₅⋊Q₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₅×Dic₆	240	4	(C5xDic6).2C2	240,22
(C₅×Dic₆).₃C₂ = C₅×Dic₁₂	φ: C₂/C₁ → C₂ ⊆ Out C₅×Dic₆	240	2	(C5xDic6).3C2	240,53
(C₅×Dic₆).₄C₂ = C₅×C₃⋊Q₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₅×Dic₆	240	4	(C5xDic6).4C2	240,63

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