Extensions 1→N→G→Q→1 with N=C₄ and Q=D₂₃

Direct product G=N×Q with N=C₄ and Q=D₂₃

		d	ρ	Label	ID
C₄×D₂₃		92	2	C4xD23	184,4

Semidirect products G=N:Q with N=C₄ and Q=D₂₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄⋊D₂₃ = D₉₂	φ: D₂₃/C₂₃ → C₂ ⊆ Aut C₄	92	2+	C4:D23	184,5

Non-split extensions G=N.Q with N=C₄ and Q=D₂₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄.D₂₃ = Dic₄₆	φ: D₂₃/C₂₃ → C₂ ⊆ Aut C₄	184	2-	C4.D23	184,3
C₄.₂D₂₃ = C₂₃⋊C₈	central extension (φ=1)	184	2	C4.2D23	184,1

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Extensions 1→N→G→Q→1 with N=C4 and Q=D23