Extensions 1→N→G→Q→1 with N=D₅ and Q=C₂³⋊C₄

Direct product G=N×Q with N=D₅ and Q=C₂³⋊C₄

		d	ρ	Label	ID
D₅×C₂³⋊C₄		40	8+	D5xC2^3:C4	320,370

Semidirect products G=N:Q with N=D₅ and Q=C₂³⋊C₄

extension	φ:Q→Out N	d	ρ	Label	ID
D₅⋊(C₂³⋊C₄) = (C₂×D₄)⋊₇F₅	φ: C₂³⋊C₄/C₂×D₄ → C₂ ⊆ Out D₅	40	8+	D5:(C2^3:C4)	320,1108

Non-split extensions G=N.Q with N=D₅ and Q=C₂³⋊C₄

extension	φ:Q→Out N	d	ρ	Label	ID
D₅.(C₂³⋊C₄) = (C₂²×F₅)⋊C₄	φ: C₂³⋊C₄/C₂²⋊C₄ → C₂ ⊆ Out D₅	40	8+	D5.(C2^3:C4)	320,204

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Extensions 1→N→G→Q→1 with N=D5 and Q=C23⋊C4