Extensions 1→N→G→Q→1 with N=C₅×D₁₂ and Q=C₂

Direct product G=N×Q with N=C₅×D₁₂ and Q=C₂

		d	ρ	Label	ID
C₁₀×D₁₂		120		C10xD12	240,167

Semidirect products G=N:Q with N=C₅×D₁₂ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₅×D₁₂)⋊₁C₂ = C₅⋊D₂₄	φ: C₂/C₁ → C₂ ⊆ Out C₅×D₁₂	120	4+	(C5xD12):1C2	240,15
(C₅×D₁₂)⋊₂C₂ = D₁₂⋊₅D₅	φ: C₂/C₁ → C₂ ⊆ Out C₅×D₁₂	120	4-	(C5xD12):2C2	240,133
(C₅×D₁₂)⋊₃C₂ = D₅×D₁₂	φ: C₂/C₁ → C₂ ⊆ Out C₅×D₁₂	60	4+	(C5xD12):3C2	240,136
(C₅×D₁₂)⋊₄C₂ = C₁₅⋊D₈	φ: C₂/C₁ → C₂ ⊆ Out C₅×D₁₂	120	4	(C5xD12):4C2	240,13
(C₅×D₁₂)⋊₅C₂ = D₁₂⋊D₅	φ: C₂/C₁ → C₂ ⊆ Out C₅×D₁₂	120	4	(C5xD12):5C2	240,129
(C₅×D₁₂)⋊₆C₂ = C₂₀⋊D₆	φ: C₂/C₁ → C₂ ⊆ Out C₅×D₁₂	60	4	(C5xD12):6C2	240,138
(C₅×D₁₂)⋊₇C₂ = C₅×D₂₄	φ: C₂/C₁ → C₂ ⊆ Out C₅×D₁₂	120	2	(C5xD12):7C2	240,52
(C₅×D₁₂)⋊₈C₂ = C₅×D₄⋊S₃	φ: C₂/C₁ → C₂ ⊆ Out C₅×D₁₂	120	4	(C5xD12):8C2	240,60
(C₅×D₁₂)⋊₉C₂ = C₅×S₃×D₄	φ: C₂/C₁ → C₂ ⊆ Out C₅×D₁₂	60	4	(C5xD12):9C2	240,169
(C₅×D₁₂)⋊₁₀C₂ = C₅×Q₈⋊₃S₃	φ: C₂/C₁ → C₂ ⊆ Out C₅×D₁₂	120	4	(C5xD12):10C2	240,172
(C₅×D₁₂)⋊₁₁C₂ = C₅×C₄○D₁₂	φ: trivial image	120	2	(C5xD12):11C2	240,168

Non-split extensions G=N.Q with N=C₅×D₁₂ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₅×D₁₂).₁C₂ = D₁₂.D₅	φ: C₂/C₁ → C₂ ⊆ Out C₅×D₁₂	120	4-	(C5xD12).1C2	240,20
(C₅×D₁₂).₂C₂ = C₂₀.D₆	φ: C₂/C₁ → C₂ ⊆ Out C₅×D₁₂	120	4	(C5xD12).2C2	240,17
(C₅×D₁₂).₃C₂ = C₅×C₂₄⋊C₂	φ: C₂/C₁ → C₂ ⊆ Out C₅×D₁₂	120	2	(C5xD12).3C2	240,51
(C₅×D₁₂).₄C₂ = C₅×Q₈⋊₂S₃	φ: C₂/C₁ → C₂ ⊆ Out C₅×D₁₂	120	4	(C5xD12).4C2	240,62

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