Extensions 1→N→G→Q→1 with N=C₄₀ and Q=C₄

Direct product G=N×Q with N=C₄₀ and Q=C₄

		d	ρ	Label	ID
C₄×C₄₀		160		C4xC40	160,46

Semidirect products G=N:Q with N=C₄₀ and Q=C₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄₀⋊₁C₄ = D₅.D₈	φ: C₄/C₁ → C₄ ⊆ Aut C₄₀	40	4	C40:1C4	160,69
C₄₀⋊₂C₄ = C₄₀⋊C₄	φ: C₄/C₁ → C₄ ⊆ Aut C₄₀	40	4	C40:2C4	160,68
C₄₀⋊₃C₄ = C₈×F₅	φ: C₄/C₁ → C₄ ⊆ Aut C₄₀	40	4	C40:3C4	160,66
C₄₀⋊₄C₄ = C₈⋊F₅	φ: C₄/C₁ → C₄ ⊆ Aut C₄₀	40	4	C40:4C4	160,67
C₄₀⋊₅C₄ = C₄₀⋊₅C₄	φ: C₄/C₂ → C₂ ⊆ Aut C₄₀	160		C40:5C4	160,25
C₄₀⋊₆C₄ = C₄₀⋊₆C₄	φ: C₄/C₂ → C₂ ⊆ Aut C₄₀	160		C40:6C4	160,24
C₄₀⋊₇C₄ = C₈×Dic₅	φ: C₄/C₂ → C₂ ⊆ Aut C₄₀	160		C40:7C4	160,20
C₄₀⋊₈C₄ = C₄₀⋊₈C₄	φ: C₄/C₂ → C₂ ⊆ Aut C₄₀	160		C40:8C4	160,22
C₄₀⋊₉C₄ = C₅×C₂.D₈	φ: C₄/C₂ → C₂ ⊆ Aut C₄₀	160		C40:9C4	160,57
C₄₀⋊₁₀C₄ = C₅×C₄.Q₈	φ: C₄/C₂ → C₂ ⊆ Aut C₄₀	160		C40:10C4	160,56
C₄₀⋊₁₁C₄ = C₅×C₈⋊C₄	φ: C₄/C₂ → C₂ ⊆ Aut C₄₀	160		C40:11C4	160,47

Non-split extensions G=N.Q with N=C₄₀ and Q=C₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄₀.₁C₄ = D₁₀.Q₈	φ: C₄/C₁ → C₄ ⊆ Aut C₄₀	80	4	C40.1C4	160,71
C₄₀.₂C₄ = C₄₀.C₄	φ: C₄/C₁ → C₄ ⊆ Aut C₄₀	80	4	C40.2C4	160,70
C₄₀.₃C₄ = C₅⋊C₃₂	φ: C₄/C₁ → C₄ ⊆ Aut C₄₀	160	4	C40.3C4	160,3
C₄₀.₄C₄ = D₅⋊C₁₆	φ: C₄/C₁ → C₄ ⊆ Aut C₄₀	80	4	C40.4C4	160,64
C₄₀.₅C₄ = C₈.F₅	φ: C₄/C₁ → C₄ ⊆ Aut C₄₀	80	4	C40.5C4	160,65
C₄₀.₆C₄ = C₄₀.₆C₄	φ: C₄/C₂ → C₂ ⊆ Aut C₄₀	80	2	C40.6C4	160,26
C₄₀.₇C₄ = C₅⋊₂C₃₂	φ: C₄/C₂ → C₂ ⊆ Aut C₄₀	160	2	C40.7C4	160,1
C₄₀.₈C₄ = C₂×C₅⋊₂C₁₆	φ: C₄/C₂ → C₂ ⊆ Aut C₄₀	160		C40.8C4	160,18
C₄₀.₉C₄ = C₂₀.₄C₈	φ: C₄/C₂ → C₂ ⊆ Aut C₄₀	80	2	C40.9C4	160,19
C₄₀.₁₀C₄ = C₅×C₈.C₄	φ: C₄/C₂ → C₂ ⊆ Aut C₄₀	80	2	C40.10C4	160,58
C₄₀.₁₁C₄ = C₅×M₅(2)	φ: C₄/C₂ → C₂ ⊆ Aut C₄₀	80	2	C40.11C4	160,60

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