Extensions 1→N→G→Q→1 with N=C₅⋊₂C₈ and Q=C₄

Direct product G=N×Q with N=C₅⋊₂C₈ and Q=C₄

		d	ρ	Label	ID
C₄×C₅⋊₂C₈		160		C4xC5:2C8	160,9

Semidirect products G=N:Q with N=C₅⋊₂C₈ and Q=C₄

extension	φ:Q→Out N	d	ρ	Label	ID
C₅⋊₂C₈⋊₁C₄ = C₁₀.D₈	φ: C₄/C₂ → C₂ ⊆ Out C₅⋊₂C₈	160		C5:2C8:1C4	160,14
C₅⋊₂C₈⋊₂C₄ = C₂₀.Q₈	φ: C₄/C₂ → C₂ ⊆ Out C₅⋊₂C₈	160		C5:2C8:2C4	160,15
C₅⋊₂C₈⋊₃C₄ = C₄².D₅	φ: C₄/C₂ → C₂ ⊆ Out C₅⋊₂C₈	160		C5:2C8:3C4	160,10
C₅⋊₂C₈⋊₄C₄ = C₄₀⋊₈C₄	φ: C₄/C₂ → C₂ ⊆ Out C₅⋊₂C₈	160		C5:2C8:4C4	160,22
C₅⋊₂C₈⋊₅C₄ = C₄₀⋊C₄	φ: C₄/C₂ → C₂ ⊆ Out C₅⋊₂C₈	40	4	C5:2C8:5C4	160,68
C₅⋊₂C₈⋊₆C₄ = D₅.D₈	φ: C₄/C₂ → C₂ ⊆ Out C₅⋊₂C₈	40	4	C5:2C8:6C4	160,69
C₅⋊₂C₈⋊₇C₄ = C₈×F₅	φ: C₄/C₂ → C₂ ⊆ Out C₅⋊₂C₈	40	4	C5:2C8:7C4	160,66
C₅⋊₂C₈⋊₈C₄ = C₈⋊F₅	φ: C₄/C₂ → C₂ ⊆ Out C₅⋊₂C₈	40	4	C5:2C8:8C4	160,67
C₅⋊₂C₈⋊₉C₄ = C₈×Dic₅	φ: trivial image	160		C5:2C8:9C4	160,20

Non-split extensions G=N.Q with N=C₅⋊₂C₈ and Q=C₄

extension	φ:Q→Out N	d	ρ	Label	ID
C₅⋊₂C₈.₁C₄ = C₂₀.₅₃D₄	φ: C₄/C₂ → C₂ ⊆ Out C₅⋊₂C₈	80	4	C5:2C8.1C4	160,29
C₅⋊₂C₈.₂C₄ = C₈₀⋊C₂	φ: C₄/C₂ → C₂ ⊆ Out C₅⋊₂C₈	80	2	C5:2C8.2C4	160,5
C₅⋊₂C₈.₃C₄ = C₄₀.C₄	φ: C₄/C₂ → C₂ ⊆ Out C₅⋊₂C₈	80	4	C5:2C8.3C4	160,70
C₅⋊₂C₈.₄C₄ = D₁₀.Q₈	φ: C₄/C₂ → C₂ ⊆ Out C₅⋊₂C₈	80	4	C5:2C8.4C4	160,71
C₅⋊₂C₈.₅C₄ = C₂×C₅⋊C₁₆	φ: C₄/C₂ → C₂ ⊆ Out C₅⋊₂C₈	160		C5:2C8.5C4	160,72
C₅⋊₂C₈.₆C₄ = C₂₀.C₈	φ: C₄/C₂ → C₂ ⊆ Out C₅⋊₂C₈	80	4	C5:2C8.6C4	160,73
C₅⋊₂C₈.₇C₄ = D₅×C₁₆	φ: trivial image	80	2	C5:2C8.7C4	160,4

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