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

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

		d	ρ	Label	ID
C₃×D₆⋊Q₈		96		C3xD6:Q8	288,667

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊₁(D₆⋊Q₈) = C₆².₃₅C₂³	φ: D₆⋊Q₈/Dic₃⋊C₄ → C₂ ⊆ Aut C₃	48		C3:1(D6:Q8)	288,513
C₃⋊₂(D₆⋊Q₈) = C₆².₆₅C₂³	φ: D₆⋊Q₈/Dic₃⋊C₄ → C₂ ⊆ Aut C₃	48		C3:2(D6:Q8)	288,543
C₃⋊₃(D₆⋊Q₈) = D₆⋊₃Dic₆	φ: D₆⋊Q₈/D₆⋊C₄ → C₂ ⊆ Aut C₃	96		C3:3(D6:Q8)	288,544
C₃⋊₄(D₆⋊Q₈) = D₆⋊₄Dic₆	φ: D₆⋊Q₈/D₆⋊C₄ → C₂ ⊆ Aut C₃	96		C3:4(D6:Q8)	288,547
C₃⋊₅(D₆⋊Q₈) = C₆².₂₄₀C₂³	φ: D₆⋊Q₈/C₃×C₄⋊C₄ → C₂ ⊆ Aut C₃	144		C3:5(D6:Q8)	288,753
C₃⋊₆(D₆⋊Q₈) = C₆².₅₈C₂³	φ: D₆⋊Q₈/C₂×Dic₆ → C₂ ⊆ Aut C₃	48		C3:6(D6:Q8)	288,536
C₃⋊₇(D₆⋊Q₈) = D₆⋊Dic₆	φ: D₆⋊Q₈/S₃×C₂×C₄ → C₂ ⊆ Aut C₃	96		C3:7(D6:Q8)	288,499

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.(D₆⋊Q₈) = D₁₈⋊Q₈	φ: D₆⋊Q₈/C₃×C₄⋊C₄ → C₂ ⊆ Aut C₃	144		C3.(D6:Q8)	288,106

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