Extensions 1→N→G→Q→1 with N=D₁₀.C₂³ and Q=C₂

Direct product G=N×Q with N=D₁₀.C₂³ and Q=C₂

		d	ρ	Label	ID
C₂×D₁₀.C₂³		80		C2xD10.C2^3	320,1592

Semidirect products G=N:Q with N=D₁₀.C₂³ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
D₁₀.C₂³⋊₁C₂ = (D₄×C₁₀)⋊C₄	φ: C₂/C₁ → C₂ ⊆ Out D₁₀.C₂³	40	8+	D10.C2^3:1C2	320,1105
D₁₀.C₂³⋊₂C₂ = (C₂×D₄)⋊₆F₅	φ: C₂/C₁ → C₂ ⊆ Out D₁₀.C₂³	80	8-	D10.C2^3:2C2	320,1107
D₁₀.C₂³⋊₃C₂ = (C₂×D₄)⋊₈F₅	φ: C₂/C₁ → C₂ ⊆ Out D₁₀.C₂³	80	8-	D10.C2^3:3C2	320,1109
D₁₀.C₂³⋊₄C₂ = (C₂×Q₈)⋊₆F₅	φ: C₂/C₁ → C₂ ⊆ Out D₁₀.C₂³	80	8+	D10.C2^3:4C2	320,1122
D₁₀.C₂³⋊₅C₂ = (C₂×Q₈)⋊₇F₅	φ: C₂/C₁ → C₂ ⊆ Out D₁₀.C₂³	80	8+	D10.C2^3:5C2	320,1123
D₁₀.C₂³⋊₆C₂ = C₄○D₂₀⋊C₄	φ: C₂/C₁ → C₂ ⊆ Out D₁₀.C₂³	80	8	D10.C2^3:6C2	320,1132
D₁₀.C₂³⋊₇C₂ = D₄⋊F₅⋊C₂	φ: C₂/C₁ → C₂ ⊆ Out D₁₀.C₂³	80	8	D10.C2^3:7C2	320,1133
D₁₀.C₂³⋊₈C₂ = D₁₀.C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out D₁₀.C₂³	40	8+	D10.C2^3:8C2	320,1596
D₁₀.C₂³⋊₉C₂ = C₄○D₄×F₅	φ: C₂/C₁ → C₂ ⊆ Out D₁₀.C₂³	40	8	D10.C2^3:9C2	320,1603
D₁₀.C₂³⋊₁₀C₂ = D₅.2₊¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out D₁₀.C₂³	40	8	D10.C2^3:10C2	320,1604
D₁₀.C₂³⋊₁₁C₂ = C₂³⋊F₅⋊₅C₂	φ: C₂/C₁ → C₂ ⊆ Out D₁₀.C₂³	80	4	D10.C2^3:11C2	320,1083

Non-split extensions G=N.Q with N=D₁₀.C₂³ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
D₁₀.C₂³.₁C₂ = M₄(2)⋊₃F₅	φ: C₂/C₁ → C₂ ⊆ Out D₁₀.C₂³	40	8	D10.C2^3.1C2	320,238
D₁₀.C₂³.₂C₂ = M₄(2)⋊₄F₅	φ: C₂/C₁ → C₂ ⊆ Out D₁₀.C₂³	80	8	D10.C2^3.2C2	320,240
D₁₀.C₂³.₃C₂ = M₄(2)⋊₁F₅	φ: C₂/C₁ → C₂ ⊆ Out D₁₀.C₂³	40	8	D10.C2^3.3C2	320,1065
D₁₀.C₂³.₄C₂ = M₄(2)⋊₅F₅	φ: C₂/C₁ → C₂ ⊆ Out D₁₀.C₂³	80	8	D10.C2^3.4C2	320,1066
D₁₀.C₂³.₅C₂ = (C₂×Q₈)⋊₄F₅	φ: C₂/C₁ → C₂ ⊆ Out D₁₀.C₂³	80	8-	D10.C2^3.5C2	320,1120
D₁₀.C₂³.₆C₂ = D₅.2_-¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out D₁₀.C₂³	80	8-	D10.C2^3.6C2	320,1600
D₁₀.C₂³.₇C₂ = C₄²⋊₆F₅	φ: C₂/C₁ → C₂ ⊆ Out D₁₀.C₂³	40	4	D10.C2^3.7C2	320,200
D₁₀.C₂³.₈C₂ = C₄²⋊₃F₅	φ: C₂/C₁ → C₂ ⊆ Out D₁₀.C₂³	80	4	D10.C2^3.8C2	320,201
D₁₀.C₂³.₉C₂ = (C₂×C₈)⋊F₅	φ: C₂/C₁ → C₂ ⊆ Out D₁₀.C₂³	80	4	D10.C2^3.9C2	320,232
D₁₀.C₂³.₁₀C₂ = C₂₀.₂₄C₄²	φ: C₂/C₁ → C₂ ⊆ Out D₁₀.C₂³	80	4	D10.C2^3.10C2	320,233
D₁₀.C₂³.₁₁C₂ = (C₂×C₈)⋊₆F₅	φ: C₂/C₁ → C₂ ⊆ Out D₁₀.C₂³	80	4	D10.C2^3.11C2	320,1059
D₁₀.C₂³.₁₂C₂ = C₂₀.₁₂C₄²	φ: trivial image	80	4	D10.C2^3.12C2	320,1056

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