Extensions 1→N→G→Q→1 with N=C₅×C₄○D₄ and Q=C₄

Direct product G=N×Q with N=C₅×C₄○D₄ and Q=C₄

		d	ρ	Label	ID
C₄○D₄×C₂₀		160		C4oD4xC20	320,1519

Semidirect products G=N:Q with N=C₅×C₄○D₄ and Q=C₄

extension	φ:Q→Out N	d	ρ	Label	ID
(C₅×C₄○D₄)⋊₁C₄ = D₅⋊C₄≀C₂	φ: C₄/C₁ → C₄ ⊆ Out C₅×C₄○D₄	40	8	(C5xC4oD4):1C4	320,1130
(C₅×C₄○D₄)⋊₂C₄ = C₄○D₄⋊F₅	φ: C₄/C₁ → C₄ ⊆ Out C₅×C₄○D₄	40	8	(C5xC4oD4):2C4	320,1131
(C₅×C₄○D₄)⋊₃C₄ = C₄○D₂₀⋊C₄	φ: C₄/C₁ → C₄ ⊆ Out C₅×C₄○D₄	80	8	(C5xC4oD4):3C4	320,1132
(C₅×C₄○D₄)⋊₄C₄ = D₄⋊F₅⋊C₂	φ: C₄/C₁ → C₄ ⊆ Out C₅×C₄○D₄	80	8	(C5xC4oD4):4C4	320,1133
(C₅×C₄○D₄)⋊₅C₄ = C₄○D₄×F₅	φ: C₄/C₁ → C₄ ⊆ Out C₅×C₄○D₄	40	8	(C5xC4oD4):5C4	320,1603
(C₅×C₄○D₄)⋊₆C₄ = D₅.2₊¹⁺⁴	φ: C₄/C₁ → C₄ ⊆ Out C₅×C₄○D₄	40	8	(C5xC4oD4):6C4	320,1604
(C₅×C₄○D₄)⋊₇C₄ = C₄○D₄⋊Dic₅	φ: C₄/C₂ → C₂ ⊆ Out C₅×C₄○D₄	160		(C5xC4oD4):7C4	320,859
(C₅×C₄○D₄)⋊₈C₄ = C₂₀.(C₂×D₄)	φ: C₄/C₂ → C₂ ⊆ Out C₅×C₄○D₄	160		(C5xC4oD4):8C4	320,860
(C₅×C₄○D₄)⋊₉C₄ = C₂×D₄⋊₂Dic₅	φ: C₄/C₂ → C₂ ⊆ Out C₅×C₄○D₄	80		(C5xC4oD4):9C4	320,862
(C₅×C₄○D₄)⋊₁₀C₄ = (D₄×C₁₀)⋊₂₁C₄	φ: C₄/C₂ → C₂ ⊆ Out C₅×C₄○D₄	80	4	(C5xC4oD4):10C4	320,863
(C₅×C₄○D₄)⋊₁₁C₄ = C₄○D₄×Dic₅	φ: C₄/C₂ → C₂ ⊆ Out C₅×C₄○D₄	160		(C5xC4oD4):11C4	320,1498
(C₅×C₄○D₄)⋊₁₂C₄ = C₁₀.₁₀₆2_-¹⁺⁴	φ: C₄/C₂ → C₂ ⊆ Out C₅×C₄○D₄	160		(C5xC4oD4):12C4	320,1499
(C₅×C₄○D₄)⋊₁₃C₄ = C₅×C₂³.₂₄D₄	φ: C₄/C₂ → C₂ ⊆ Out C₅×C₄○D₄	160		(C5xC4oD4):13C4	320,917
(C₅×C₄○D₄)⋊₁₄C₄ = C₅×C₂³.₃₆D₄	φ: C₄/C₂ → C₂ ⊆ Out C₅×C₄○D₄	160		(C5xC4oD4):14C4	320,918
(C₅×C₄○D₄)⋊₁₅C₄ = C₁₀×C₄≀C₂	φ: C₄/C₂ → C₂ ⊆ Out C₅×C₄○D₄	80		(C5xC4oD4):15C4	320,921
(C₅×C₄○D₄)⋊₁₆C₄ = C₅×C₄²⋊C₂²	φ: C₄/C₂ → C₂ ⊆ Out C₅×C₄○D₄	80	4	(C5xC4oD4):16C4	320,922
(C₅×C₄○D₄)⋊₁₇C₄ = C₅×C₂³.₃₃C₂³	φ: C₄/C₂ → C₂ ⊆ Out C₅×C₄○D₄	160		(C5xC4oD4):17C4	320,1522

Non-split extensions G=N.Q with N=C₅×C₄○D₄ and Q=C₄

extension	φ:Q→Out N	d	ρ	Label	ID
(C₅×C₄○D₄).₁C₄ = D₄.(C₅⋊C₈)	φ: C₄/C₁ → C₄ ⊆ Out C₅×C₄○D₄	160	8	(C5xC4oD4).1C4	320,270
(C₅×C₄○D₄).₂C₄ = C₅⋊C₁₆.C₂²	φ: C₄/C₁ → C₄ ⊆ Out C₅×C₄○D₄	160	8	(C5xC4oD4).2C4	320,1129
(C₅×C₄○D₄).₃C₄ = Dic₅.₂₁C₂⁴	φ: C₄/C₁ → C₄ ⊆ Out C₅×C₄○D₄	80	8	(C5xC4oD4).3C4	320,1601
(C₅×C₄○D₄).₄C₄ = Dic₅.₂₂C₂⁴	φ: C₄/C₁ → C₄ ⊆ Out C₅×C₄○D₄	80	8	(C5xC4oD4).4C4	320,1602
(C₅×C₄○D₄).₅C₄ = C₄₀.₉₂D₄	φ: C₄/C₂ → C₂ ⊆ Out C₅×C₄○D₄	160	4	(C5xC4oD4).5C4	320,119
(C₅×C₄○D₄).₆C₄ = C₄₀.₇₀C₂³	φ: C₄/C₂ → C₂ ⊆ Out C₅×C₄○D₄	160	4	(C5xC4oD4).6C4	320,767
(C₅×C₄○D₄).₇C₄ = C₂×D₄.Dic₅	φ: C₄/C₂ → C₂ ⊆ Out C₅×C₄○D₄	160		(C5xC4oD4).7C4	320,1490
(C₅×C₄○D₄).₈C₄ = C₂₀.₇₆C₂⁴	φ: C₄/C₂ → C₂ ⊆ Out C₅×C₄○D₄	80	4	(C5xC4oD4).8C4	320,1491
(C₅×C₄○D₄).₉C₄ = C₅×D₄.C₈	φ: C₄/C₂ → C₂ ⊆ Out C₅×C₄○D₄	160	2	(C5xC4oD4).9C4	320,155
(C₅×C₄○D₄).₁₀C₄ = C₅×Q₈○M₄(2)	φ: C₄/C₂ → C₂ ⊆ Out C₅×C₄○D₄	80	4	(C5xC4oD4).10C4	320,1570
(C₅×C₄○D₄).₁₁C₄ = C₅×D₄○C₁₆	φ: trivial image	160	2	(C5xC4oD4).11C4	320,1005
(C₅×C₄○D₄).₁₂C₄ = C₁₀×C₈○D₄	φ: trivial image	160		(C5xC4oD4).12C4	320,1569

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