Extensions 1→N→G→Q→1 with N=C₃ and Q=C₂×Q₈⋊₂S₃

Direct product G=N×Q with N=C₃ and Q=C₂×Q₈⋊₂S₃

		d	ρ	Label	ID
C₆×Q₈⋊₂S₃		96		C6xQ8:2S3	288,712

Semidirect products G=N:Q with N=C₃ and Q=C₂×Q₈⋊₂S₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊₁(C₂×Q₈⋊₂S₃) = C₂×C₃²⋊₅SD₁₆	φ: C₂×Q₈⋊₂S₃/C₂×C₃⋊C₈ → C₂ ⊆ Aut C₃	48		C3:1(C2xQ8:2S3)	288,480
C₃⋊₂(C₂×Q₈⋊₂S₃) = S₃×Q₈⋊₂S₃	φ: C₂×Q₈⋊₂S₃/Q₈⋊₂S₃ → C₂ ⊆ Aut C₃	48	8+	C3:2(C2xQ8:2S3)	288,586
C₃⋊₃(C₂×Q₈⋊₂S₃) = C₂×Dic₆⋊S₃	φ: C₂×Q₈⋊₂S₃/C₂×D₁₂ → C₂ ⊆ Aut C₃	96		C3:3(C2xQ8:2S3)	288,474
C₃⋊₄(C₂×Q₈⋊₂S₃) = C₂×C₃²⋊₁₁SD₁₆	φ: C₂×Q₈⋊₂S₃/C₆×Q₈ → C₂ ⊆ Aut C₃	144		C3:4(C2xQ8:2S3)	288,798

Non-split extensions G=N.Q with N=C₃ and Q=C₂×Q₈⋊₂S₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.(C₂×Q₈⋊₂S₃) = C₂×Q₈⋊₂D₉	φ: C₂×Q₈⋊₂S₃/C₆×Q₈ → C₂ ⊆ Aut C₃	144		C3.(C2xQ8:2S3)	288,152

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