Extensions 1→N→G→Q→1 with N=C₂² and Q=D₄₀

Direct product G=N×Q with N=C₂² and Q=D₄₀

		d	ρ	Label	ID
C₂²×D₄₀		160		C2^2xD40	320,1412

Semidirect products G=N:Q with N=C₂² and Q=D₄₀

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂²⋊₁D₄₀ = C₄₀⋊₂₉D₄	φ: D₄₀/C₄₀ → C₂ ⊆ Aut C₂²	160		C2^2:1D40	320,742
C₂²⋊₂D₄₀ = D₂₀⋊₁₃D₄	φ: D₄₀/D₂₀ → C₂ ⊆ Aut C₂²	80		C2^2:2D40	320,359

Non-split extensions G=N.Q with N=C₂² and Q=D₄₀

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂².₁D₄₀ = D₈₀⋊₇C₂	φ: D₄₀/C₄₀ → C₂ ⊆ Aut C₂²	160	2	C2^2.1D40	320,531
C₂².₂D₄₀ = C₂².₂D₄₀	φ: D₄₀/D₂₀ → C₂ ⊆ Aut C₂²	80		C2^2.2D40	320,28
C₂².₃D₄₀ = D₄₀⋊₈C₄	φ: D₄₀/D₂₀ → C₂ ⊆ Aut C₂²	80	4	C2^2.3D40	320,76
C₂².₄D₄₀ = C₂².D₄₀	φ: D₄₀/D₂₀ → C₂ ⊆ Aut C₂²	160		C2^2.4D40	320,363
C₂².₅D₄₀ = D₈₀⋊C₂	φ: D₄₀/D₂₀ → C₂ ⊆ Aut C₂²	80	4+	C2^2.5D40	320,535
C₂².₆D₄₀ = C₁₆.D₁₀	φ: D₄₀/D₂₀ → C₂ ⊆ Aut C₂²	160	4-	C2^2.6D40	320,536
C₂².₇D₄₀ = C₄₀.₇₈D₄	central extension (φ=1)	320		C2^2.7D40	320,61
C₂².₈D₄₀ = C₈₀⋊₁₃C₄	central extension (φ=1)	320		C2^2.8D40	320,62
C₂².₉D₄₀ = C₈₀⋊₁₄C₄	central extension (φ=1)	320		C2^2.9D40	320,63
C₂².₁₀D₄₀ = D₄₀⋊₇C₄	central extension (φ=1)	160		C2^2.10D40	320,67
C₂².₁₁D₄₀ = C₂₀.₃₉C₄²	central extension (φ=1)	320		C2^2.11D40	320,109
C₂².₁₂D₄₀ = C₂×D₈₀	central extension (φ=1)	160		C2^2.12D40	320,529
C₂².₁₃D₄₀ = C₂×C₁₆⋊D₅	central extension (φ=1)	160		C2^2.13D40	320,530
C₂².₁₄D₄₀ = C₂×Dic₄₀	central extension (φ=1)	320		C2^2.14D40	320,532
C₂².₁₅D₄₀ = C₂×C₄₀⋊₅C₄	central extension (φ=1)	320		C2^2.15D40	320,732
C₂².₁₆D₄₀ = C₂×D₂₀⋊₅C₄	central extension (φ=1)	160		C2^2.16D40	320,739

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