Extensions 1→N→G→Q→1 with N=D₄₀ and Q=C₄

Direct product G=N×Q with N=D₄₀ and Q=C₄

		d	ρ	Label	ID
C₄×D₄₀		160		C4xD40	320,319

Semidirect products G=N:Q with N=D₄₀ and Q=C₄

extension	φ:Q→Out N	d	ρ	Label	ID
D₄₀⋊₁C₄ = D₄₀⋊₁C₄	φ: C₄/C₁ → C₄ ⊆ Out D₄₀	80	8+	D40:1C4	320,245
D₄₀⋊₂C₄ = D₄₀⋊C₄	φ: C₄/C₁ → C₄ ⊆ Out D₄₀	40	8+	D40:2C4	320,1069
D₄₀⋊₃C₄ = Q₁₆⋊F₅	φ: C₄/C₁ → C₄ ⊆ Out D₄₀	80	8+	D40:3C4	320,1079
D₄₀⋊₄C₄ = D₅.D₁₆	φ: C₄/C₁ → C₄ ⊆ Out D₄₀	80	8+	D40:4C4	320,242
D₄₀⋊₅C₄ = D₈×F₅	φ: C₄/C₁ → C₄ ⊆ Out D₄₀	40	8+	D40:5C4	320,1068
D₄₀⋊₆C₄ = Q₁₆⋊₅F₅	φ: C₄/C₁ → C₄ ⊆ Out D₄₀	80	8+	D40:6C4	320,1078
D₄₀⋊₇C₄ = D₄₀⋊₇C₄	φ: C₄/C₂ → C₂ ⊆ Out D₄₀	160		D40:7C4	320,67
D₄₀⋊₈C₄ = D₄₀⋊₈C₄	φ: C₄/C₂ → C₂ ⊆ Out D₄₀	80	4	D40:8C4	320,76
D₄₀⋊₉C₄ = D₄₀⋊₉C₄	φ: C₄/C₂ → C₂ ⊆ Out D₄₀	160		D40:9C4	320,338
D₄₀⋊₁₀C₄ = D₄₀⋊₁₀C₄	φ: C₄/C₂ → C₂ ⊆ Out D₄₀	80	4	D40:10C4	320,344
D₄₀⋊₁₁C₄ = C₄₀.₅D₄	φ: C₄/C₂ → C₂ ⊆ Out D₄₀	160		D40:11C4	320,49
D₄₀⋊₁₂C₄ = D₄₀⋊₁₂C₄	φ: C₄/C₂ → C₂ ⊆ Out D₄₀	160		D40:12C4	320,499
D₄₀⋊₁₃C₄ = D₄₀⋊₁₃C₄	φ: C₄/C₂ → C₂ ⊆ Out D₄₀	80	4	D40:13C4	320,522
D₄₀⋊₁₄C₄ = D₄₀⋊₁₄C₄	φ: C₄/C₂ → C₂ ⊆ Out D₄₀	80	4	D40:14C4	320,46
D₄₀⋊₁₅C₄ = D₄₀⋊₁₅C₄	φ: C₄/C₂ → C₂ ⊆ Out D₄₀	160		D40:15C4	320,496
D₄₀⋊₁₆C₄ = D₄₀⋊₁₆C₄	φ: C₄/C₂ → C₂ ⊆ Out D₄₀	80	4	D40:16C4	320,521
D₄₀⋊₁₇C₄ = D₄₀⋊₁₇C₄	φ: trivial image	80	2	D40:17C4	320,327

Non-split extensions G=N.Q with N=D₄₀ and Q=C₄

extension	φ:Q→Out N	d	ρ	Label	ID
D₄₀.₁C₄ = D₄₀.C₄	φ: C₄/C₁ → C₄ ⊆ Out D₄₀	80	8+	D40.1C4	320,244
D₄₀.₂C₄ = Q₁₆.F₅	φ: C₄/C₁ → C₄ ⊆ Out D₄₀	160	8+	D40.2C4	320,247
D₄₀.₃C₄ = D₄₀.₃C₄	φ: C₄/C₂ → C₂ ⊆ Out D₄₀	160	2	D40.3C4	320,68
D₄₀.₄C₄ = D₄₀.₄C₄	φ: C₄/C₂ → C₂ ⊆ Out D₄₀	80	4+	D40.4C4	320,74
D₄₀.₅C₄ = D₄₀.₅C₄	φ: C₄/C₂ → C₂ ⊆ Out D₄₀	160	4	D40.5C4	320,55
D₄₀.₆C₄ = D₄₀.₆C₄	φ: C₄/C₂ → C₂ ⊆ Out D₄₀	80	4+	D40.6C4	320,53

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