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

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

		d	ρ	Label	ID
C₃×D₆.D₄		96		C3xD6.D4	288,665

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊₁(D₆.D₄) = C₆².₆₇C₂³	φ: D₆.D₄/Dic₃⋊C₄ → C₂ ⊆ Aut C₃	48		C3:1(D6.D4)	288,545
C₃⋊₂(D₆.D₄) = C₆².₂₃C₂³	φ: D₆.D₄/D₆⋊C₄ → C₂ ⊆ Aut C₃	48		C3:2(D6.D4)	288,501
C₃⋊₃(D₆.D₄) = C₆².₂₄C₂³	φ: D₆.D₄/D₆⋊C₄ → C₂ ⊆ Aut C₃	48		C3:3(D6.D4)	288,502
C₃⋊₄(D₆.D₄) = D₆.D₁₂	φ: D₆.D₄/D₆⋊C₄ → C₂ ⊆ Aut C₃	48		C3:4(D6.D4)	288,538
C₃⋊₅(D₆.D₄) = C₆².₂₃₈C₂³	φ: D₆.D₄/C₃×C₄⋊C₄ → C₂ ⊆ Aut C₃	144		C3:5(D6.D4)	288,751
C₃⋊₆(D₆.D₄) = C₆².₂₀C₂³	φ: D₆.D₄/S₃×C₂×C₄ → C₂ ⊆ Aut C₃	48		C3:6(D6.D4)	288,498
C₃⋊₇(D₆.D₄) = C₆².₅₄C₂³	φ: D₆.D₄/C₂×D₁₂ → C₂ ⊆ Aut C₃	96		C3:7(D6.D4)	288,532

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.(D₆.D₄) = D₁₈.D₄	φ: D₆.D₄/C₃×C₄⋊C₄ → C₂ ⊆ Aut C₃	144		C3.(D6.D4)	288,104

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