Extensions 1→N→G→Q→1 with N=C₂×D₁₂ and Q=C₁₀

Direct product G=N×Q with N=C₂×D₁₂ and Q=C₁₀

		d	ρ	Label	ID
C₂×C₁₀×D₁₂		240		C2xC10xD12	480,1152

Semidirect products G=N:Q with N=C₂×D₁₂ and Q=C₁₀

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂×D₁₂)⋊₁C₁₀ = C₅×C₄⋊D₁₂	φ: C₁₀/C₅ → C₂ ⊆ Out C₂×D₁₂	240		(C2xD12):1C10	480,753
(C₂×D₁₂)⋊₂C₁₀ = C₅×D₆⋊D₄	φ: C₁₀/C₅ → C₂ ⊆ Out C₂×D₁₂	120		(C2xD12):2C10	480,761
(C₂×D₁₂)⋊₃C₁₀ = C₅×Dic₃⋊D₄	φ: C₁₀/C₅ → C₂ ⊆ Out C₂×D₁₂	240		(C2xD12):3C10	480,763
(C₂×D₁₂)⋊₄C₁₀ = C₅×C₁₂⋊D₄	φ: C₁₀/C₅ → C₂ ⊆ Out C₂×D₁₂	240		(C2xD12):4C10	480,774
(C₂×D₁₂)⋊₅C₁₀ = C₁₀×D₂₄	φ: C₁₀/C₅ → C₂ ⊆ Out C₂×D₁₂	240		(C2xD12):5C10	480,782
(C₂×D₁₂)⋊₆C₁₀ = C₅×C₁₂⋊₇D₄	φ: C₁₀/C₅ → C₂ ⊆ Out C₂×D₁₂	240		(C2xD12):6C10	480,809
(C₂×D₁₂)⋊₇C₁₀ = C₅×C₈⋊D₆	φ: C₁₀/C₅ → C₂ ⊆ Out C₂×D₁₂	120	4	(C2xD12):7C10	480,787
(C₂×D₁₂)⋊₈C₁₀ = C₁₀×D₄⋊S₃	φ: C₁₀/C₅ → C₂ ⊆ Out C₂×D₁₂	240		(C2xD12):8C10	480,810
(C₂×D₁₂)⋊₉C₁₀ = C₅×C₁₂⋊₃D₄	φ: C₁₀/C₅ → C₂ ⊆ Out C₂×D₁₂	240		(C2xD12):9C10	480,819
(C₂×D₁₂)⋊₁₀C₁₀ = C₅×D₄⋊D₆	φ: C₁₀/C₅ → C₂ ⊆ Out C₂×D₁₂	120	4	(C2xD12):10C10	480,828
(C₂×D₁₂)⋊₁₁C₁₀ = S₃×D₄×C₁₀	φ: C₁₀/C₅ → C₂ ⊆ Out C₂×D₁₂	120		(C2xD12):11C10	480,1154
(C₂×D₁₂)⋊₁₂C₁₀ = C₁₀×Q₈⋊₃S₃	φ: C₁₀/C₅ → C₂ ⊆ Out C₂×D₁₂	240		(C2xD12):12C10	480,1158
(C₂×D₁₂)⋊₁₃C₁₀ = C₅×D₄○D₁₂	φ: C₁₀/C₅ → C₂ ⊆ Out C₂×D₁₂	120	4	(C2xD12):13C10	480,1161
(C₂×D₁₂)⋊₁₄C₁₀ = C₁₀×C₄○D₁₂	φ: trivial image	240		(C2xD12):14C10	480,1153

Non-split extensions G=N.Q with N=C₂×D₁₂ and Q=C₁₀

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂×D₁₂).₁C₁₀ = C₅×C₂.D₂₄	φ: C₁₀/C₅ → C₂ ⊆ Out C₂×D₁₂	240		(C2xD12).1C10	480,140
(C₂×D₁₂).₂C₁₀ = C₅×C₄²⋊₇S₃	φ: C₁₀/C₅ → C₂ ⊆ Out C₂×D₁₂	240		(C2xD12).2C10	480,754
(C₂×D₁₂).₃C₁₀ = C₅×D₆.D₄	φ: C₁₀/C₅ → C₂ ⊆ Out C₂×D₁₂	240		(C2xD12).3C10	480,773
(C₂×D₁₂).₄C₁₀ = C₁₀×C₂₄⋊C₂	φ: C₁₀/C₅ → C₂ ⊆ Out C₂×D₁₂	240		(C2xD12).4C10	480,781
(C₂×D₁₂).₅C₁₀ = C₅×C₆.D₈	φ: C₁₀/C₅ → C₂ ⊆ Out C₂×D₁₂	240		(C2xD12).5C10	480,128
(C₂×D₁₂).₆C₁₀ = C₅×C₁₂.₄₆D₄	φ: C₁₀/C₅ → C₂ ⊆ Out C₂×D₁₂	120	4	(C2xD12).6C10	480,142
(C₂×D₁₂).₇C₁₀ = C₅×Dic₃⋊₅D₄	φ: C₁₀/C₅ → C₂ ⊆ Out C₂×D₁₂	240		(C2xD12).7C10	480,772
(C₂×D₁₂).₈C₁₀ = C₁₀×Q₈⋊₂S₃	φ: C₁₀/C₅ → C₂ ⊆ Out C₂×D₁₂	240		(C2xD12).8C10	480,820
(C₂×D₁₂).₉C₁₀ = C₅×C₁₂.₂₃D₄	φ: C₁₀/C₅ → C₂ ⊆ Out C₂×D₁₂	240		(C2xD12).9C10	480,826
(C₂×D₁₂).₁₀C₁₀ = C₂₀×D₁₂	φ: trivial image	240		(C2xD12).10C10	480,752

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