Extensions 1→N→G→Q→1 with N=C₄ and Q=Dic₂₃

Direct product G=N×Q with N=C₄ and Q=Dic₂₃

		d	ρ	Label	ID
C₄×Dic₂₃		368		C4xDic23	368,10

Semidirect products G=N:Q with N=C₄ and Q=Dic₂₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄⋊Dic₂₃ = C₉₂⋊C₄	φ: Dic₂₃/C₄₆ → C₂ ⊆ Aut C₄	368		C4:Dic23	368,12

Non-split extensions G=N.Q with N=C₄ and Q=Dic₂₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄.Dic₂₃ = C₉₂.C₄	φ: Dic₂₃/C₄₆ → C₂ ⊆ Aut C₄	184	2	C4.Dic23	368,9
C₄.₂Dic₂₃ = C₂₃⋊C₁₆	central extension (φ=1)	368	2	C4.2Dic23	368,1
C₄.₃Dic₂₃ = C₂×C₂₃⋊C₈	central extension (φ=1)	368		C4.3Dic23	368,8

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Extensions 1→N→G→Q→1 with N=C4 and Q=Dic23