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	288,679

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⋊₁D₆	φ: C₈⋊D₆/C₂₄⋊C₂ → C₂ ⊆ Aut C₃	48	4+	C3:1(C8:D6)	288,442
C₃⋊₂(C₈⋊D₆) = D₂₄⋊S₃	φ: C₈⋊D₆/D₂₄ → C₂ ⊆ Aut C₃	48	4	C3:2(C8:D6)	288,443
C₃⋊₃(C₈⋊D₆) = C₂₄⋊₃D₆	φ: C₈⋊D₆/C₃×M₄(2) → C₂ ⊆ Aut C₃	72		C3:3(C8:D6)	288,765
C₃⋊₄(C₈⋊D₆) = D₁₂.₂₈D₆	φ: C₈⋊D₆/C₂×D₁₂ → C₂ ⊆ Aut C₃	48	4	C3:4(C8:D6)	288,478
C₃⋊₅(C₈⋊D₆) = D₁₂⋊₁₈D₆	φ: C₈⋊D₆/C₄○D₁₂ → C₂ ⊆ Aut C₃	24	4+	C3:5(C8:D6)	288,473

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	72	4+	C3.(C8:D6)	288,118

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