Extensions 1→N→G→Q→1 with N=C₃ and Q=D₆⋊C₈

Direct product G=N×Q with N=C₃ and Q=D₆⋊C₈

		d	ρ	Label	ID
C₃×D₆⋊C₈		96		C3xD6:C8	288,254

Semidirect products G=N:Q with N=C₃ and Q=D₆⋊C₈

extension	φ:Q→Aut N	d	Label	ID
C₃⋊₁(D₆⋊C₈) = C₁₂.₇₈D₁₂	φ: D₆⋊C₈/C₂×C₃⋊C₈ → C₂ ⊆ Aut C₃	48	C3:1(D6:C8)	288,205
C₃⋊₂(D₆⋊C₈) = C₁₂.₆₀D₁₂	φ: D₆⋊C₈/C₂×C₂₄ → C₂ ⊆ Aut C₃	144	C3:2(D6:C8)	288,295
C₃⋊₃(D₆⋊C₈) = C₁₂.₇₇D₁₂	φ: D₆⋊C₈/S₃×C₂×C₄ → C₂ ⊆ Aut C₃	96	C3:3(D6:C8)	288,204

Non-split extensions G=N.Q with N=C₃ and Q=D₆⋊C₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.(D₆⋊C₈) = D₁₈⋊C₈	φ: D₆⋊C₈/C₂×C₂₄ → C₂ ⊆ Aut C₃	144		C3.(D6:C8)	288,27

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Extensions 1→N→G→Q→1 with N=C3 and Q=D6⋊C8