Extensions 1→N→G→Q→1 with N=C₅×C₃⋊D₄ and Q=C₄

Direct product G=N×Q with N=C₅×C₃⋊D₄ and Q=C₄

		d	ρ	Label	ID
C₂₀×C₃⋊D₄		240		C20xC3:D4	480,807

Semidirect products G=N:Q with N=C₅×C₃⋊D₄ and Q=C₄

extension	φ:Q→Out N	d	ρ	Label	ID
(C₅×C₃⋊D₄)⋊₁C₄ = F₅×C₃⋊D₄	φ: C₄/C₁ → C₄ ⊆ Out C₅×C₃⋊D₄	60	8	(C5xC3:D4):1C4	480,1010
(C₅×C₃⋊D₄)⋊₂C₄ = C₃⋊D₄⋊F₅	φ: C₄/C₁ → C₄ ⊆ Out C₅×C₃⋊D₄	60	8	(C5xC3:D4):2C4	480,1012
(C₅×C₃⋊D₄)⋊₃C₄ = Dic₅×C₃⋊D₄	φ: C₄/C₂ → C₂ ⊆ Out C₅×C₃⋊D₄	240		(C5xC3:D4):3C4	480,627
(C₅×C₃⋊D₄)⋊₄C₄ = Dic₁₅⋊₁₇D₄	φ: C₄/C₂ → C₂ ⊆ Out C₅×C₃⋊D₄	240		(C5xC3:D4):4C4	480,636
(C₅×C₃⋊D₄)⋊₅C₄ = C₅×Dic₃⋊₄D₄	φ: C₄/C₂ → C₂ ⊆ Out C₅×C₃⋊D₄	240		(C5xC3:D4):5C4	480,760

Non-split extensions G=N.Q with N=C₅×C₃⋊D₄ and Q=C₄

extension	φ:Q→Out N	d	ρ	Label	ID
(C₅×C₃⋊D₄).₁C₄ = C₅⋊C₈.D₆	φ: C₄/C₁ → C₄ ⊆ Out C₅×C₃⋊D₄	240	8	(C5xC3:D4).1C4	480,1003
(C₅×C₃⋊D₄).₂C₄ = D₁₅⋊C₈⋊C₂	φ: C₄/C₁ → C₄ ⊆ Out C₅×C₃⋊D₄	240	8	(C5xC3:D4).2C4	480,1005
(C₅×C₃⋊D₄).₃C₄ = D₁₂.₂Dic₅	φ: C₄/C₂ → C₂ ⊆ Out C₅×C₃⋊D₄	240	4	(C5xC3:D4).3C4	480,362
(C₅×C₃⋊D₄).₄C₄ = D₁₂.Dic₅	φ: C₄/C₂ → C₂ ⊆ Out C₅×C₃⋊D₄	240	4	(C5xC3:D4).4C4	480,364
(C₅×C₃⋊D₄).₅C₄ = C₅×D₁₂.C₄	φ: C₄/C₂ → C₂ ⊆ Out C₅×C₃⋊D₄	240	4	(C5xC3:D4).5C4	480,786
(C₅×C₃⋊D₄).₆C₄ = C₅×C₈○D₁₂	φ: trivial image	240	2	(C5xC3:D4).6C4	480,780

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