Extensions 1→N→G→Q→1 with N=C₃ and Q=C₂×Q₈⋊₃S₃

Direct product G=N×Q with N=C₃ and Q=C₂×Q₈⋊₃S₃

		d	ρ	Label	ID
C₆×Q₈⋊₃S₃		96		C6xQ8:3S3	288,996

Semidirect products G=N:Q with N=C₃ and Q=C₂×Q₈⋊₃S₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊₁(C₂×Q₈⋊₃S₃) = C₂×D₆.₆D₆	φ: C₂×Q₈⋊₃S₃/S₃×C₂×C₄ → C₂ ⊆ Aut C₃	48		C3:1(C2xQ8:3S3)	288,949
C₃⋊₂(C₂×Q₈⋊₃S₃) = C₂×D₁₂⋊S₃	φ: C₂×Q₈⋊₃S₃/C₂×D₁₂ → C₂ ⊆ Aut C₃	48		C3:2(C2xQ8:3S3)	288,944
C₃⋊₃(C₂×Q₈⋊₃S₃) = S₃×Q₈⋊₃S₃	φ: C₂×Q₈⋊₃S₃/Q₈⋊₃S₃ → C₂ ⊆ Aut C₃	48	8+	C3:3(C2xQ8:3S3)	288,966
C₃⋊₄(C₂×Q₈⋊₃S₃) = C₂×C₁₂.₂₆D₆	φ: C₂×Q₈⋊₃S₃/C₆×Q₈ → C₂ ⊆ Aut C₃	144		C3:4(C2xQ8:3S3)	288,1011

Non-split extensions G=N.Q with N=C₃ and Q=C₂×Q₈⋊₃S₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.(C₂×Q₈⋊₃S₃) = C₂×Q₈⋊₃D₉	φ: C₂×Q₈⋊₃S₃/C₆×Q₈ → C₂ ⊆ Aut C₃	144		C3.(C2xQ8:3S3)	288,360

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