Extensions 1→N→G→Q→1 with N=C₃ and Q=Q₈.₁₁D₆

Direct product G=N×Q with N=C₃ and Q=Q₈.₁₁D₆

		d	ρ	Label	ID
C₃×Q₈.₁₁D₆		48	4	C3xQ8.11D6	288,713

Semidirect products G=N:Q with N=C₃ and Q=Q₈.₁₁D₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊₁(Q₈.₁₁D₆) = Dic₆.₂₉D₆	φ: Q₈.₁₁D₆/C₄.Dic₃ → C₂ ⊆ Aut C₃	48	4	C3:1(Q8.11D6)	288,481
C₃⋊₂(Q₈.₁₁D₆) = D₁₂.₂₄D₆	φ: Q₈.₁₁D₆/Q₈⋊₂S₃ → C₂ ⊆ Aut C₃	96	8-	C3:2(Q8.11D6)	288,594
C₃⋊₃(Q₈.₁₁D₆) = Dic₆.₂₂D₆	φ: Q₈.₁₁D₆/C₃⋊Q₁₆ → C₂ ⊆ Aut C₃	48	8+	C3:3(Q8.11D6)	288,596
C₃⋊₄(Q₈.₁₁D₆) = D₁₂.₃₂D₆	φ: Q₈.₁₁D₆/C₄○D₁₂ → C₂ ⊆ Aut C₃	48	4	C3:4(Q8.11D6)	288,475
C₃⋊₅(Q₈.₁₁D₆) = C₆².₁₃₄D₄	φ: Q₈.₁₁D₆/C₆×Q₈ → C₂ ⊆ Aut C₃	144		C3:5(Q8.11D6)	288,799

Non-split extensions G=N.Q with N=C₃ and Q=Q₈.₁₁D₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.(Q₈.₁₁D₆) = C₃₆.C₂³	φ: Q₈.₁₁D₆/C₆×Q₈ → C₂ ⊆ Aut C₃	144	4	C3.(Q8.11D6)	288,153

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