Extensions 1→N→G→Q→1 with N=C₃ and Q=D₆⋊₃Q₈

Direct product G=N×Q with N=C₃ and Q=D₆⋊₃Q₈

		d	ρ	Label	ID
C₃×D₆⋊₃Q₈		96		C3xD6:3Q8	288,717

Semidirect products G=N:Q with N=C₃ and Q=D₆⋊₃Q₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊₁(D₆⋊₃Q₈) = C₆².₅₈C₂³	φ: D₆⋊₃Q₈/Dic₃⋊C₄ → C₂ ⊆ Aut C₃	48		C3:1(D6:3Q8)	288,536
C₃⋊₂(D₆⋊₃Q₈) = C₁₂.₃₀D₁₂	φ: D₆⋊₃Q₈/C₄⋊Dic₃ → C₂ ⊆ Aut C₃	48		C3:2(D6:3Q8)	288,519
C₃⋊₃(D₆⋊₃Q₈) = D₆⋊₁Dic₆	φ: D₆⋊₃Q₈/D₆⋊C₄ → C₂ ⊆ Aut C₃	96		C3:3(D6:3Q8)	288,535
C₃⋊₄(D₆⋊₃Q₈) = D₆⋊₆Dic₆	φ: D₆⋊₃Q₈/S₃×C₂×C₄ → C₂ ⊆ Aut C₃	96		C3:4(D6:3Q8)	288,504
C₃⋊₅(D₆⋊₃Q₈) = C₆².₂₆₁C₂³	φ: D₆⋊₃Q₈/C₆×Q₈ → C₂ ⊆ Aut C₃	144		C3:5(D6:3Q8)	288,803

Non-split extensions G=N.Q with N=C₃ and Q=D₆⋊₃Q₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.(D₆⋊₃Q₈) = D₁₈⋊₃Q₈	φ: D₆⋊₃Q₈/C₆×Q₈ → C₂ ⊆ Aut C₃	144		C3.(D6:3Q8)	288,156

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