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

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

		d	ρ	Label	ID
C₄xD₄₀		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 = D₈xF₅	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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