Extensions 1→N→G→Q→1 with N=D₄₀⋊₇C₂ and Q=C₂

Direct product G=N×Q with N=D₄₀⋊₇C₂ and Q=C₂

		d	ρ	Label	ID
C₂×D₄₀⋊₇C₂		160		C2xD40:7C2	320,1413

Semidirect products G=N:Q with N=D₄₀⋊₇C₂ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
D₄₀⋊₇C₂⋊₁C₂ = D₈₀⋊₇C₂	φ: C₂/C₁ → C₂ ⊆ Out D₄₀⋊₇C₂	160	2	D40:7C2:1C2	320,531
D₄₀⋊₇C₂⋊₂C₂ = D₈.D₁₀	φ: C₂/C₁ → C₂ ⊆ Out D₄₀⋊₇C₂	80	4	D40:7C2:2C2	320,774
D₄₀⋊₇C₂⋊₃C₂ = D₈⋊₁₃D₁₀	φ: C₂/C₁ → C₂ ⊆ Out D₄₀⋊₇C₂	80	4	D40:7C2:3C2	320,1429
D₄₀⋊₇C₂⋊₄C₂ = D₂₀.₃₀D₄	φ: C₂/C₁ → C₂ ⊆ Out D₄₀⋊₇C₂	160	4	D40:7C2:4C2	320,1438
D₄₀⋊₇C₂⋊₅C₂ = C₄₀.₃₀C₂³	φ: C₂/C₁ → C₂ ⊆ Out D₄₀⋊₇C₂	160	4	D40:7C2:5C2	320,821
D₄₀⋊₇C₂⋊₆C₂ = D₅×C₄○D₈	φ: C₂/C₁ → C₂ ⊆ Out D₄₀⋊₇C₂	80	4	D40:7C2:6C2	320,1439
D₄₀⋊₇C₂⋊₇C₂ = Q₁₆⋊D₁₀	φ: C₂/C₁ → C₂ ⊆ Out D₄₀⋊₇C₂	80	4	D40:7C2:7C2	320,1440
D₄₀⋊₇C₂⋊₈C₂ = D₂₀.₂₉D₄	φ: C₂/C₁ → C₂ ⊆ Out D₄₀⋊₇C₂	80	4	D40:7C2:8C2	320,1434
D₄₀⋊₇C₂⋊₉C₂ = D₈₀⋊C₂	φ: C₂/C₁ → C₂ ⊆ Out D₄₀⋊₇C₂	80	4+	D40:7C2:9C2	320,535
D₄₀⋊₇C₂⋊₁₀C₂ = C₄₀.₉C₂³	φ: C₂/C₁ → C₂ ⊆ Out D₄₀⋊₇C₂	80	4	D40:7C2:10C2	320,1420
D₄₀⋊₇C₂⋊₁₁C₂ = D₄.₁₁D₂₀	φ: C₂/C₁ → C₂ ⊆ Out D₄₀⋊₇C₂	80	4	D40:7C2:11C2	320,1423
D₄₀⋊₇C₂⋊₁₂C₂ = D₄.₁₂D₂₀	φ: C₂/C₁ → C₂ ⊆ Out D₄₀⋊₇C₂	80	4+	D40:7C2:12C2	320,1424
D₄₀⋊₇C₂⋊₁₃C₂ = D₄.₁₃D₂₀	φ: C₂/C₁ → C₂ ⊆ Out D₄₀⋊₇C₂	160	4-	D40:7C2:13C2	320,1425

Non-split extensions G=N.Q with N=D₄₀⋊₇C₂ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
D₄₀⋊₇C₂.₁C₂ = D₄₀.₃C₄	φ: C₂/C₁ → C₂ ⊆ Out D₄₀⋊₇C₂	160	2	D40:7C2.1C2	320,68
D₄₀⋊₇C₂.₂C₂ = Q₁₆.D₁₀	φ: C₂/C₁ → C₂ ⊆ Out D₄₀⋊₇C₂	160	4	D40:7C2.2C2	320,806
D₄₀⋊₇C₂.₃C₂ = D₄₀.₅C₄	φ: C₂/C₁ → C₂ ⊆ Out D₄₀⋊₇C₂	160	4	D40:7C2.3C2	320,55
D₄₀⋊₇C₂.₄C₂ = D₄₀⋊₁₆C₄	φ: C₂/C₁ → C₂ ⊆ Out D₄₀⋊₇C₂	80	4	D40:7C2.4C2	320,521
D₄₀⋊₇C₂.₅C₂ = D₄₀⋊₁₃C₄	φ: C₂/C₁ → C₂ ⊆ Out D₄₀⋊₇C₂	80	4	D40:7C2.5C2	320,522
D₄₀⋊₇C₂.₆C₂ = D₄₀⋊₁₄C₄	φ: C₂/C₁ → C₂ ⊆ Out D₄₀⋊₇C₂	80	4	D40:7C2.6C2	320,46
D₄₀⋊₇C₂.₇C₂ = D₄₀⋊₈C₄	φ: C₂/C₁ → C₂ ⊆ Out D₄₀⋊₇C₂	80	4	D40:7C2.7C2	320,76
D₄₀⋊₇C₂.₈C₂ = D₄₀⋊₁₀C₄	φ: C₂/C₁ → C₂ ⊆ Out D₄₀⋊₇C₂	80	4	D40:7C2.8C2	320,344
D₄₀⋊₇C₂.₉C₂ = C₁₆.D₁₀	φ: C₂/C₁ → C₂ ⊆ Out D₄₀⋊₇C₂	160	4-	D40:7C2.9C2	320,536
D₄₀⋊₇C₂.₁₀C₂ = D₄₀⋊₁₇C₄	φ: trivial image	80	2	D40:7C2.10C2	320,327

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