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	288,686

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) = C₂₄.₃D₆	φ: D₄.D₆/C₈⋊S₃ → C₂ ⊆ Aut C₃	96	4-	C3:1(D4.D6)	288,448
C₃⋊₂(D₄.D₆) = D₁₂.₄D₆	φ: D₄.D₆/Dic₁₂ → C₂ ⊆ Aut C₃	48	4	C3:2(D4.D6)	288,459
C₃⋊₃(D₄.D₆) = Dic₆.D₆	φ: D₄.D₆/D₄.S₃ → C₂ ⊆ Aut C₃	48	8-	C3:3(D4.D6)	288,579
C₃⋊₄(D₄.D₆) = D₁₂.₁₅D₆	φ: D₄.D₆/C₃⋊Q₁₆ → C₂ ⊆ Aut C₃	48	8-	C3:4(D4.D6)	288,599
C₃⋊₅(D₄.D₆) = C₂₄.₃₂D₆	φ: D₄.D₆/C₃×SD₁₆ → C₂ ⊆ Aut C₃	144		C3:5(D4.D6)	288,772
C₃⋊₆(D₄.D₆) = Dic₆.₁₉D₆	φ: D₄.D₆/D₄⋊₂S₃ → C₂ ⊆ Aut C₃	48	8-	C3:6(D4.D6)	288,577
C₃⋊₇(D₄.D₆) = D₁₂.₂₄D₆	φ: D₄.D₆/S₃×Q₈ → C₂ ⊆ Aut C₃	96	8-	C3:7(D4.D6)	288,594

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) = SD₁₆⋊D₉	φ: D₄.D₆/C₃×SD₁₆ → C₂ ⊆ Aut C₃	144	4-	C3.(D4.D6)	288,125

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