Extensions 1→N→G→Q→1 with N=C₃ and Q=C₄.Dic₆

Direct product G=N×Q with N=C₃ and Q=C₄.Dic₆

		d	ρ	Label	ID
C₃×C₄.Dic₆		96		C3xC4.Dic6	288,661

Semidirect products G=N:Q with N=C₃ and Q=C₄.Dic₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊₁(C₄.Dic₆) = C₆².₃₉C₂³	φ: C₄.Dic₆/C₄×Dic₃ → C₂ ⊆ Aut C₃	96		C3:1(C4.Dic6)	288,517
C₃⋊₂(C₄.Dic₆) = Dic₃.Dic₆	φ: C₄.Dic₆/Dic₃⋊C₄ → C₂ ⊆ Aut C₃	96		C3:2(C4.Dic6)	288,493
C₃⋊₃(C₄.Dic₆) = C₆².₁₆C₂³	φ: C₄.Dic₆/C₄⋊Dic₃ → C₂ ⊆ Aut C₃	96		C3:3(C4.Dic6)	288,494
C₃⋊₄(C₄.Dic₆) = C₆².₄₂C₂³	φ: C₄.Dic₆/C₄⋊Dic₃ → C₂ ⊆ Aut C₃	96		C3:4(C4.Dic6)	288,520
C₃⋊₅(C₄.Dic₆) = C₆².₂₃₄C₂³	φ: C₄.Dic₆/C₃×C₄⋊C₄ → C₂ ⊆ Aut C₃	288		C3:5(C4.Dic6)	288,747

Non-split extensions G=N.Q with N=C₃ and Q=C₄.Dic₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.(C₄.Dic₆) = C₃₆.₃Q₈	φ: C₄.Dic₆/C₃×C₄⋊C₄ → C₂ ⊆ Aut C₃	288		C3.(C4.Dic6)	288,100

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