Extensions 1→N→G→Q→1 with N=C₅×D₄ and Q=C₈

Direct product G=N×Q with N=C₅×D₄ and Q=C₈

		d	ρ	Label	ID
D₄×C₄₀		160		D4xC40	320,935

Semidirect products G=N:Q with N=C₅×D₄ and Q=C₈

extension	φ:Q→Out N	d	ρ	Label	ID
(C₅×D₄)⋊₁C₈ = Dic₅.₂₃D₈	φ: C₈/C₂ → C₄ ⊆ Out C₅×D₄	160		(C5xD4):1C8	320,262
(C₅×D₄)⋊₂C₈ = D₄×C₅⋊C₈	φ: C₈/C₂ → C₄ ⊆ Out C₅×D₄	160		(C5xD4):2C8	320,1110
(C₅×D₄)⋊₃C₈ = C₂₀.₅₇D₈	φ: C₈/C₄ → C₂ ⊆ Out C₅×D₄	160		(C5xD4):3C8	320,92
(C₅×D₄)⋊₄C₈ = D₄×C₅⋊₂C₈	φ: C₈/C₄ → C₂ ⊆ Out C₅×D₄	160		(C5xD4):4C8	320,637
(C₅×D₄)⋊₅C₈ = C₅×D₄⋊C₈	φ: C₈/C₄ → C₂ ⊆ Out C₅×D₄	160		(C5xD4):5C8	320,130

Non-split extensions G=N.Q with N=C₅×D₄ and Q=C₈

extension	φ:Q→Out N	d	ρ	Label	ID
(C₅×D₄).₁C₈ = D₄.(C₅⋊C₈)	φ: C₈/C₂ → C₄ ⊆ Out C₅×D₄	160	8	(C5xD4).1C8	320,270
(C₅×D₄).₂C₈ = C₅⋊C₁₆.C₂²	φ: C₈/C₂ → C₄ ⊆ Out C₅×D₄	160	8	(C5xD4).2C8	320,1129
(C₅×D₄).₃C₈ = C₄₀.₉₂D₄	φ: C₈/C₄ → C₂ ⊆ Out C₅×D₄	160	4	(C5xD4).3C8	320,119
(C₅×D₄).₄C₈ = C₄₀.₇₀C₂³	φ: C₈/C₄ → C₂ ⊆ Out C₅×D₄	160	4	(C5xD4).4C8	320,767
(C₅×D₄).₅C₈ = C₅×D₄.C₈	φ: C₈/C₄ → C₂ ⊆ Out C₅×D₄	160	2	(C5xD4).5C8	320,155
(C₅×D₄).₆C₈ = C₅×D₄○C₁₆	φ: trivial image	160	2	(C5xD4).6C8	320,1005

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