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

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

		d	ρ	Label	ID
C₃×C₈.D₆		48	4	C3xC8.D6	288,680

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊₁(C₈.D₆) = C₂₄.₃D₆	φ: C₈.D₆/C₂₄⋊C₂ → C₂ ⊆ Aut C₃	96	4-	C3:1(C8.D6)	288,448
C₃⋊₂(C₈.D₆) = Dic₁₂⋊S₃	φ: C₈.D₆/Dic₁₂ → C₂ ⊆ Aut C₃	48	4	C3:2(C8.D6)	288,449
C₃⋊₃(C₈.D₆) = C₂₄.₅D₆	φ: C₈.D₆/C₃×M₄(2) → C₂ ⊆ Aut C₃	144		C3:3(C8.D6)	288,766
C₃⋊₄(C₈.D₆) = Dic₆.₂₉D₆	φ: C₈.D₆/C₂×Dic₆ → C₂ ⊆ Aut C₃	48	4	C3:4(C8.D6)	288,481
C₃⋊₅(C₈.D₆) = D₁₂.₂₉D₆	φ: C₈.D₆/C₄○D₁₂ → C₂ ⊆ Aut C₃	48	4-	C3:5(C8.D6)	288,479

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.(C₈.D₆) = C₈.D₁₈	φ: C₈.D₆/C₃×M₄(2) → C₂ ⊆ Aut C₃	144	4-	C3.(C8.D6)	288,119

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