Extensions 1→N→G→Q→1 with N=C₃ and Q=C₂³.₂₃D₆

Direct product G=N×Q with N=C₃ and Q=C₂³.₂₃D₆

		d	ρ	Label	ID
C₃×C₂³.₂₃D₆		48		C3xC2^3.23D6	288,706

Semidirect products G=N:Q with N=C₃ and Q=C₂³.₂₃D₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊₁(C₂³.₂₃D₆) = C₆².₅₄C₂³	φ: C₂³.₂₃D₆/Dic₃⋊C₄ → C₂ ⊆ Aut C₃	96		C3:1(C2^3.23D6)	288,532
C₃⋊₂(C₂³.₂₃D₆) = C₆².₅₇D₄	φ: C₂³.₂₃D₆/C₆.D₄ → C₂ ⊆ Aut C₃	48		C3:2(C2^3.23D6)	288,610
C₃⋊₃(C₂³.₂₃D₆) = C₆².₁₁₁C₂³	φ: C₂³.₂₃D₆/C₆.D₄ → C₂ ⊆ Aut C₃	48		C3:3(C2^3.23D6)	288,617
C₃⋊₄(C₂³.₂₃D₆) = C₆².₅₆D₄	φ: C₂³.₂₃D₆/C₂²×Dic₃ → C₂ ⊆ Aut C₃	48		C3:4(C2^3.23D6)	288,609
C₃⋊₅(C₂³.₂₃D₆) = C₆².₇₂D₄	φ: C₂³.₂₃D₆/C₆×D₄ → C₂ ⊆ Aut C₃	144		C3:5(C2^3.23D6)	288,792

Non-split extensions G=N.Q with N=C₃ and Q=C₂³.₂₃D₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.(C₂³.₂₃D₆) = C₂³.₂₃D₁₈	φ: C₂³.₂₃D₆/C₆×D₄ → C₂ ⊆ Aut C₃	144		C3.(C2^3.23D6)	288,145

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