Extensions 1→N→G→Q→1 with N=C₃ and Q=Q₈.₁₄D₆

Direct product G=N×Q with N=C₃ and Q=Q₈.₁₄D₆

		d	ρ	Label	ID
C₃×Q₈.₁₄D₆		48	4	C3xQ8.14D6	288,722

Semidirect products G=N:Q with N=C₃ and Q=Q₈.₁₄D₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊₁(Q₈.₁₄D₆) = D₁₂.₂₉D₆	φ: Q₈.₁₄D₆/C₄.Dic₃ → C₂ ⊆ Aut C₃	48	4-	C3:1(Q8.14D6)	288,479
C₃⋊₂(Q₈.₁₄D₆) = Dic₆.₁₉D₆	φ: Q₈.₁₄D₆/D₄.S₃ → C₂ ⊆ Aut C₃	48	8-	C3:2(Q8.14D6)	288,577
C₃⋊₃(Q₈.₁₄D₆) = D₁₂.₁₁D₆	φ: Q₈.₁₄D₆/C₃⋊Q₁₆ → C₂ ⊆ Aut C₃	96	8-	C3:3(Q8.14D6)	288,591
C₃⋊₄(Q₈.₁₄D₆) = D₁₂.₃₂D₆	φ: Q₈.₁₄D₆/C₂×Dic₆ → C₂ ⊆ Aut C₃	48	4	C3:4(Q8.14D6)	288,475
C₃⋊₅(Q₈.₁₄D₆) = C₆².₇₅D₄	φ: Q₈.₁₄D₆/C₃×C₄○D₄ → C₂ ⊆ Aut C₃	144		C3:5(Q8.14D6)	288,808

Non-split extensions G=N.Q with N=C₃ and Q=Q₈.₁₄D₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.(Q₈.₁₄D₆) = D₄.D₁₈	φ: Q₈.₁₄D₆/C₃×C₄○D₄ → C₂ ⊆ Aut C₃	144	4-	C3.(Q8.14D6)	288,159

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