Extensions 1→N→G→Q→1 with N=D₅×C₂²×C₆ and Q=C₂

Direct product G=N×Q with N=D₅×C₂²×C₆ and Q=C₂

		d	ρ	Label	ID
D₅×C₂³×C₆		240		D5xC2^3xC6	480,1210

Semidirect products G=N:Q with N=D₅×C₂²×C₆ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(D₅×C₂²×C₆)⋊₁C₂ = (C₂×C₃₀)⋊D₄	φ: C₂/C₁ → C₂ ⊆ Out D₅×C₂²×C₆	120		(D5xC2^2xC6):1C2	480,639
(D₅×C₂²×C₆)⋊₂C₂ = (C₂×C₆)⋊₈D₂₀	φ: C₂/C₁ → C₂ ⊆ Out D₅×C₂²×C₆	120		(D5xC2^2xC6):2C2	480,640
(D₅×C₂²×C₆)⋊₃C₂ = C₂²×C₁₅⋊D₄	φ: C₂/C₁ → C₂ ⊆ Out D₅×C₂²×C₆	240		(D5xC2^2xC6):3C2	480,1118
(D₅×C₂²×C₆)⋊₄C₂ = C₂²×C₃⋊D₂₀	φ: C₂/C₁ → C₂ ⊆ Out D₅×C₂²×C₆	240		(D5xC2^2xC6):4C2	480,1119
(D₅×C₂²×C₆)⋊₅C₂ = C₂×D₅×C₃⋊D₄	φ: C₂/C₁ → C₂ ⊆ Out D₅×C₂²×C₆	120		(D5xC2^2xC6):5C2	480,1122
(D₅×C₂²×C₆)⋊₆C₂ = S₃×C₂³×D₅	φ: C₂/C₁ → C₂ ⊆ Out D₅×C₂²×C₆	120		(D5xC2^2xC6):6C2	480,1207
(D₅×C₂²×C₆)⋊₇C₂ = C₃×C₂²⋊D₂₀	φ: C₂/C₁ → C₂ ⊆ Out D₅×C₂²×C₆	120		(D5xC2^2xC6):7C2	480,675
(D₅×C₂²×C₆)⋊₈C₂ = C₃×C₂³⋊D₁₀	φ: C₂/C₁ → C₂ ⊆ Out D₅×C₂²×C₆	120		(D5xC2^2xC6):8C2	480,730
(D₅×C₂²×C₆)⋊₉C₂ = C₂×C₆×D₂₀	φ: C₂/C₁ → C₂ ⊆ Out D₅×C₂²×C₆	240		(D5xC2^2xC6):9C2	480,1137
(D₅×C₂²×C₆)⋊₁₀C₂ = C₆×D₄×D₅	φ: C₂/C₁ → C₂ ⊆ Out D₅×C₂²×C₆	120		(D5xC2^2xC6):10C2	480,1139
(D₅×C₂²×C₆)⋊₁₁C₂ = C₂×C₆×C₅⋊D₄	φ: C₂/C₁ → C₂ ⊆ Out D₅×C₂²×C₆	240		(D5xC2^2xC6):11C2	480,1149

Non-split extensions G=N.Q with N=D₅×C₂²×C₆ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(D₅×C₂²×C₆).₁C₂ = C₂×D₁₀⋊Dic₃	φ: C₂/C₁ → C₂ ⊆ Out D₅×C₂²×C₆	240		(D5xC2^2xC6).1C2	480,611
(D₅×C₂²×C₆).₂C₂ = D₅×C₆.D₄	φ: C₂/C₁ → C₂ ⊆ Out D₅×C₂²×C₆	120		(D5xC2^2xC6).2C2	480,623
(D₅×C₂²×C₆).₃C₂ = C₂²×D₅×Dic₃	φ: C₂/C₁ → C₂ ⊆ Out D₅×C₂²×C₆	240		(D5xC2^2xC6).3C2	480,1112
(D₅×C₂²×C₆).₄C₂ = C₃×D₅×C₂²⋊C₄	φ: C₂/C₁ → C₂ ⊆ Out D₅×C₂²×C₆	120		(D5xC2^2xC6).4C2	480,673
(D₅×C₂²×C₆).₅C₂ = C₆×D₁₀⋊C₄	φ: C₂/C₁ → C₂ ⊆ Out D₅×C₂²×C₆	240		(D5xC2^2xC6).5C2	480,720
(D₅×C₂²×C₆).₆C₂ = C₂×D₁₀.D₆	φ: C₂/C₁ → C₂ ⊆ Out D₅×C₂²×C₆	120		(D5xC2^2xC6).6C2	480,1072
(D₅×C₂²×C₆).₇C₂ = C₂³×C₃⋊F₅	φ: C₂/C₁ → C₂ ⊆ Out D₅×C₂²×C₆	120		(D5xC2^2xC6).7C2	480,1206
(D₅×C₂²×C₆).₈C₂ = C₆×C₂²⋊F₅	φ: C₂/C₁ → C₂ ⊆ Out D₅×C₂²×C₆	120		(D5xC2^2xC6).8C2	480,1059
(D₅×C₂²×C₆).₉C₂ = F₅×C₂²×C₆	φ: C₂/C₁ → C₂ ⊆ Out D₅×C₂²×C₆	120		(D5xC2^2xC6).9C2	480,1205
(D₅×C₂²×C₆).₁₀C₂ = D₅×C₂²×C₁₂	φ: trivial image	240		(D5xC2^2xC6).10C2	480,1136

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