Extensions 1→N→G→Q→1 with N=C₈⋊D₅ and Q=C₄

Direct product G=N×Q with N=C₈⋊D₅ and Q=C₄

		d	ρ	Label	ID
C₄×C₈⋊D₅		160		C4xC8:D5	320,314

Semidirect products G=N:Q with N=C₈⋊D₅ and Q=C₄

extension	φ:Q→Out N	d	ρ	Label	ID
C₈⋊D₅⋊₁C₄ = M₄(2)⋊₁F₅	φ: C₄/C₁ → C₄ ⊆ Out C₈⋊D₅	40	8	C8:D5:1C4	320,1065
C₈⋊D₅⋊₂C₄ = M₄(2)×F₅	φ: C₄/C₁ → C₄ ⊆ Out C₈⋊D₅	40	8	C8:D5:2C4	320,1064
C₈⋊D₅⋊₃C₄ = M₄(2)⋊₅F₅	φ: C₄/C₁ → C₄ ⊆ Out C₈⋊D₅	80	8	C8:D5:3C4	320,1066
C₈⋊D₅⋊₄C₄ = C₈⋊(C₄×D₅)	φ: C₄/C₂ → C₂ ⊆ Out C₈⋊D₅	160		C8:D5:4C4	320,488
C₈⋊D₅⋊₅C₄ = C₄₀⋊₂₀(C₂×C₄)	φ: C₄/C₂ → C₂ ⊆ Out C₈⋊D₅	160		C8:D5:5C4	320,508
C₈⋊D₅⋊₆C₄ = D₁₀.₆C₄²	φ: C₄/C₂ → C₂ ⊆ Out C₈⋊D₅	160		C8:D5:6C4	320,334
C₈⋊D₅⋊₇C₄ = D₁₀.₇C₄²	φ: C₄/C₂ → C₂ ⊆ Out C₈⋊D₅	160		C8:D5:7C4	320,335
C₈⋊D₅⋊₈C₄ = D₁₀.₅C₄²	φ: trivial image	160		C8:D5:8C4	320,316

Non-split extensions G=N.Q with N=C₈⋊D₅ and Q=C₄

extension	φ:Q→Out N	d	ρ	Label	ID
C₈⋊D₅.₁C₄ = M₄(2).₁F₅	φ: C₄/C₁ → C₄ ⊆ Out C₈⋊D₅	80	8	C8:D5.1C4	320,1067
C₈⋊D₅.₂C₄ = Dic₁₀.C₈	φ: C₄/C₁ → C₄ ⊆ Out C₈⋊D₅	160	8	C8:D5.2C4	320,1063
C₈⋊D₅.₃C₄ = M₄(2).₂₅D₁₀	φ: C₄/C₂ → C₂ ⊆ Out C₈⋊D₅	80	4	C8:D5.3C4	320,520
C₈⋊D₅.₄C₄ = D₂₀.₅C₈	φ: C₄/C₂ → C₂ ⊆ Out C₈⋊D₅	160	4	C8:D5.4C4	320,534
C₈⋊D₅.₅C₄ = D₂₀.₆C₈	φ: trivial image	160	2	C8:D5.5C4	320,528

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