Extensions 1→N→G→Q→1 with N=C₃ and Q=D₄⋊D₆

Direct product G=N×Q with N=C₃ and Q=D₄⋊D₆

		d	ρ	Label	ID
C₃×D₄⋊D₆		48	4	C3xD4:D6	288,720

Semidirect products G=N:Q with N=C₃ and Q=D₄⋊D₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊₁(D₄⋊D₆) = D₁₂⋊₁₈D₆	φ: D₄⋊D₆/C₄.Dic₃ → C₂ ⊆ Aut C₃	24	4+	C3:1(D4:D6)	288,473
C₃⋊₂(D₄⋊D₆) = Dic₆⋊₃D₆	φ: D₄⋊D₆/D₄⋊S₃ → C₂ ⊆ Aut C₃	48	8+	C3:2(D4:D6)	288,573
C₃⋊₃(D₄⋊D₆) = D₁₂⋊₆D₆	φ: D₄⋊D₆/Q₈⋊₂S₃ → C₂ ⊆ Aut C₃	48	8+	C3:3(D4:D6)	288,587
C₃⋊₄(D₄⋊D₆) = D₁₂⋊₂₀D₆	φ: D₄⋊D₆/C₂×D₁₂ → C₂ ⊆ Aut C₃	48	4	C3:4(D4:D6)	288,471
C₃⋊₅(D₄⋊D₆) = C₆².₇₃D₄	φ: D₄⋊D₆/C₃×C₄○D₄ → C₂ ⊆ Aut C₃	72		C3:5(D4:D6)	288,806

Non-split extensions G=N.Q with N=C₃ and Q=D₄⋊D₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.(D₄⋊D₆) = D₄⋊D₁₈	φ: D₄⋊D₆/C₃×C₄○D₄ → C₂ ⊆ Aut C₃	72	4+	C3.(D4:D6)	288,160

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