Extensions 1→N→G→Q→1 with N=C₃ and Q=Q₈⋊₃D₆

Direct product G=N×Q with N=C₃ and Q=Q₈⋊₃D₆

		d	ρ	Label	ID
C₃×Q₈⋊₃D₆		48	4	C3xQ8:3D6	288,685

Semidirect products G=N:Q with N=C₃ and Q=Q₈⋊₃D₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊₁(Q₈⋊₃D₆) = C₂₄⋊₁D₆	φ: Q₈⋊₃D₆/C₈⋊S₃ → C₂ ⊆ Aut C₃	48	4+	C3:1(Q8:3D6)	288,442
C₃⋊₂(Q₈⋊₃D₆) = C₂₄⋊₆D₆	φ: Q₈⋊₃D₆/D₂₄ → C₂ ⊆ Aut C₃	48	4	C3:2(Q8:3D6)	288,446
C₃⋊₃(Q₈⋊₃D₆) = D₁₂⋊₅D₆	φ: Q₈⋊₃D₆/D₄⋊S₃ → C₂ ⊆ Aut C₃	24	8+	C3:3(Q8:3D6)	288,585
C₃⋊₄(Q₈⋊₃D₆) = D₁₂.₁₀D₆	φ: Q₈⋊₃D₆/Q₈⋊₂S₃ → C₂ ⊆ Aut C₃	48	8+	C3:4(Q8:3D6)	288,589
C₃⋊₅(Q₈⋊₃D₆) = C₂₄⋊₇D₆	φ: Q₈⋊₃D₆/C₃×SD₁₆ → C₂ ⊆ Aut C₃	72		C3:5(Q8:3D6)	288,771
C₃⋊₆(Q₈⋊₃D₆) = D₁₂.₇D₆	φ: Q₈⋊₃D₆/S₃×D₄ → C₂ ⊆ Aut C₃	48	8+	C3:6(Q8:3D6)	288,582
C₃⋊₇(Q₈⋊₃D₆) = D₁₂⋊₆D₆	φ: Q₈⋊₃D₆/Q₈⋊₃S₃ → C₂ ⊆ Aut C₃	48	8+	C3:7(Q8:3D6)	288,587

Non-split extensions G=N.Q with N=C₃ and Q=Q₈⋊₃D₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.(Q₈⋊₃D₆) = D₇₂⋊C₂	φ: Q₈⋊₃D₆/C₃×SD₁₆ → C₂ ⊆ Aut C₃	72	4+	C3.(Q8:3D6)	288,124

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