Extensions 1→N→G→Q→1 with N=C₃ and Q=Q₈.₁₅D₆

Direct product G=N×Q with N=C₃ and Q=Q₈.₁₅D₆

		d	ρ	Label	ID
C₃×Q₈.₁₅D₆		48	4	C3xQ8.15D6	288,997

Semidirect products G=N:Q with N=C₃ and Q=Q₈.₁₅D₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊₁(Q₈.₁₅D₆) = D₁₂.₃₃D₆	φ: Q₈.₁₅D₆/C₄○D₁₂ → C₂ ⊆ Aut C₃	48	4	C3:1(Q8.15D6)	288,945
C₃⋊₂(Q₈.₁₅D₆) = Dic₆.₂₆D₆	φ: Q₈.₁₅D₆/S₃×Q₈ → C₂ ⊆ Aut C₃	48	8+	C3:2(Q8.15D6)	288,964
C₃⋊₃(Q₈.₁₅D₆) = D₁₂.₂₅D₆	φ: Q₈.₁₅D₆/Q₈⋊₃S₃ → C₂ ⊆ Aut C₃	48	8-	C3:3(Q8.15D6)	288,963
C₃⋊₄(Q₈.₁₅D₆) = C₃²⋊₇2_-¹⁺⁴	φ: Q₈.₁₅D₆/C₆×Q₈ → C₂ ⊆ Aut C₃	144		C3:4(Q8.15D6)	288,1012

Non-split extensions G=N.Q with N=C₃ and Q=Q₈.₁₅D₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.(Q₈.₁₅D₆) = Q₈.₁₅D₁₈	φ: Q₈.₁₅D₆/C₆×Q₈ → C₂ ⊆ Aut C₃	144	4	C3.(Q8.15D6)	288,361

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