Extensions 1→N→G→Q→1 with N=C₅×C₄○D₁₂ and Q=C₂

Direct product G=N×Q with N=C₅×C₄○D₁₂ and Q=C₂

		d	ρ	Label	ID
C₁₀×C₄○D₁₂		240		C10xC4oD12	480,1153

Semidirect products G=N:Q with N=C₅×C₄○D₁₂ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₅×C₄○D₁₂)⋊₁C₂ = C₆₀.₃₆D₄	φ: C₂/C₁ → C₂ ⊆ Out C₅×C₄○D₁₂	120	4	(C5xC4oD12):1C2	480,374
(C₅×C₄○D₁₂)⋊₂C₂ = C₃₀.C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₅×C₄○D₁₂	240	4	(C5xC4oD12):2C2	480,1080
(C₅×C₄○D₁₂)⋊₃C₂ = D₂₀⋊₂₅D₆	φ: C₂/C₁ → C₂ ⊆ Out C₅×C₄○D₁₂	120	4	(C5xC4oD12):3C2	480,1093
(C₅×C₄○D₁₂)⋊₄C₂ = C₂₀.₆₀D₁₂	φ: C₂/C₁ → C₂ ⊆ Out C₅×C₄○D₁₂	240	4	(C5xC4oD12):4C2	480,379
(C₅×C₄○D₁₂)⋊₅C₂ = D₅×C₄○D₁₂	φ: C₂/C₁ → C₂ ⊆ Out C₅×C₄○D₁₂	120	4	(C5xC4oD12):5C2	480,1090
(C₅×C₄○D₁₂)⋊₆C₂ = C₆₀.₃₈D₄	φ: C₂/C₁ → C₂ ⊆ Out C₅×C₄○D₁₂	120	4+	(C5xC4oD12):6C2	480,381
(C₅×C₄○D₁₂)⋊₇C₂ = D₂₀.₃₉D₆	φ: C₂/C₁ → C₂ ⊆ Out C₅×C₄○D₁₂	240	4-	(C5xC4oD12):7C2	480,1077
(C₅×C₄○D₁₂)⋊₈C₂ = D₂₀⋊₂₉D₆	φ: C₂/C₁ → C₂ ⊆ Out C₅×C₄○D₁₂	120	4+	(C5xC4oD12):8C2	480,1095
(C₅×C₄○D₁₂)⋊₉C₂ = D₂₀.₃₄D₆	φ: C₂/C₁ → C₂ ⊆ Out C₅×C₄○D₁₂	240	4	(C5xC4oD12):9C2	480,373
(C₅×C₄○D₁₂)⋊₁₀C₂ = D₂₀⋊₂₄D₆	φ: C₂/C₁ → C₂ ⊆ Out C₅×C₄○D₁₂	120	4	(C5xC4oD12):10C2	480,1092
(C₅×C₄○D₁₂)⋊₁₁C₂ = C₅×C₄○D₂₄	φ: C₂/C₁ → C₂ ⊆ Out C₅×C₄○D₁₂	240	2	(C5xC4oD12):11C2	480,783
(C₅×C₄○D₁₂)⋊₁₂C₂ = C₅×C₈⋊D₆	φ: C₂/C₁ → C₂ ⊆ Out C₅×C₄○D₁₂	120	4	(C5xC4oD12):12C2	480,787
(C₅×C₄○D₁₂)⋊₁₃C₂ = C₅×D₁₂⋊₆C₂²	φ: C₂/C₁ → C₂ ⊆ Out C₅×C₄○D₁₂	120	4	(C5xC4oD12):13C2	480,811
(C₅×C₄○D₁₂)⋊₁₄C₂ = C₅×Q₈.₁₃D₆	φ: C₂/C₁ → C₂ ⊆ Out C₅×C₄○D₁₂	240	4	(C5xC4oD12):14C2	480,829
(C₅×C₄○D₁₂)⋊₁₅C₂ = C₅×D₄⋊₆D₆	φ: C₂/C₁ → C₂ ⊆ Out C₅×C₄○D₁₂	120	4	(C5xC4oD12):15C2	480,1156
(C₅×C₄○D₁₂)⋊₁₆C₂ = C₅×Q₈.₁₅D₆	φ: C₂/C₁ → C₂ ⊆ Out C₅×C₄○D₁₂	240	4	(C5xC4oD12):16C2	480,1159
(C₅×C₄○D₁₂)⋊₁₇C₂ = C₅×S₃×C₄○D₄	φ: C₂/C₁ → C₂ ⊆ Out C₅×C₄○D₁₂	120	4	(C5xC4oD12):17C2	480,1160
(C₅×C₄○D₁₂)⋊₁₈C₂ = C₅×D₄○D₁₂	φ: C₂/C₁ → C₂ ⊆ Out C₅×C₄○D₁₂	120	4	(C5xC4oD12):18C2	480,1161
(C₅×C₄○D₁₂)⋊₁₉C₂ = C₅×Q₈○D₁₂	φ: C₂/C₁ → C₂ ⊆ Out C₅×C₄○D₁₂	240	4	(C5xC4oD12):19C2	480,1162

Non-split extensions G=N.Q with N=C₅×C₄○D₁₂ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₅×C₄○D₁₂).₁C₂ = D₁₂.₃₇D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₅×C₄○D₁₂	240	4	(C5xC4oD12).1C2	480,385
(C₅×C₄○D₁₂).₂C₂ = C₆₀.₉₉D₄	φ: C₂/C₁ → C₂ ⊆ Out C₅×C₄○D₁₂	120	4	(C5xC4oD12).2C2	480,55
(C₅×C₄○D₁₂).₃C₂ = D₁₂.₂Dic₅	φ: C₂/C₁ → C₂ ⊆ Out C₅×C₄○D₁₂	240	4	(C5xC4oD12).3C2	480,362
(C₅×C₄○D₁₂).₄C₂ = D₁₂.₃₃D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₅×C₄○D₁₂	240	4-	(C5xC4oD12).4C2	480,398
(C₅×C₄○D₁₂).₅C₂ = C₆₀.₉₈D₄	φ: C₂/C₁ → C₂ ⊆ Out C₅×C₄○D₁₂	120	4	(C5xC4oD12).5C2	480,54
(C₅×C₄○D₁₂).₆C₂ = D₁₂.Dic₅	φ: C₂/C₁ → C₂ ⊆ Out C₅×C₄○D₁₂	240	4	(C5xC4oD12).6C2	480,364
(C₅×C₄○D₁₂).₇C₂ = C₅×C₄²⋊₄S₃	φ: C₂/C₁ → C₂ ⊆ Out C₅×C₄○D₁₂	120	2	(C5xC4oD12).7C2	480,124
(C₅×C₄○D₁₂).₈C₂ = C₅×D₁₂⋊C₄	φ: C₂/C₁ → C₂ ⊆ Out C₅×C₄○D₁₂	120	4	(C5xC4oD12).8C2	480,144
(C₅×C₄○D₁₂).₉C₂ = C₅×D₁₂.C₄	φ: C₂/C₁ → C₂ ⊆ Out C₅×C₄○D₁₂	240	4	(C5xC4oD12).9C2	480,786
(C₅×C₄○D₁₂).₁₀C₂ = C₅×C₈.D₆	φ: C₂/C₁ → C₂ ⊆ Out C₅×C₄○D₁₂	240	4	(C5xC4oD12).10C2	480,788
(C₅×C₄○D₁₂).₁₁C₂ = C₅×Q₈.₁₁D₆	φ: C₂/C₁ → C₂ ⊆ Out C₅×C₄○D₁₂	240	4	(C5xC4oD12).11C2	480,821
(C₅×C₄○D₁₂).₁₂C₂ = C₅×C₈○D₁₂	φ: trivial image	240	2	(C5xC4oD12).12C2	480,780

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