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

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

		d	ρ	Label	ID
C₂³×D₅		40		C2^3xD5	80,51

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂³⋊D₅ = C₂×C₅⋊D₄	φ: D₅/C₅ → C₂ ⊆ Aut C₂³	40		C2^3:D5	80,44

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂³.D₅ = C₂³.D₅	φ: D₅/C₅ → C₂ ⊆ Aut C₂³	40		C2^3.D5	80,19
C₂³.₂D₅ = C₂²×Dic₅	central extension (φ=1)	80		C2^3.2D5	80,43

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