Extensions 1→N→G→Q→1 with N=C₃ and Q=Q₈×C₂×C₆

Direct product G=N×Q with N=C₃ and Q=Q₈×C₂×C₆

		d	ρ	Label	ID
Q₈×C₆²		288		Q8xC6^2	288,1020

Semidirect products G=N:Q with N=C₃ and Q=Q₈×C₂×C₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊₁(Q₈×C₂×C₆) = C₂×C₆×Dic₆	φ: Q₈×C₂×C₆/C₂²×C₁₂ → C₂ ⊆ Aut C₃	96		C3:1(Q8xC2xC6)	288,988
C₃⋊₂(Q₈×C₂×C₆) = S₃×C₆×Q₈	φ: Q₈×C₂×C₆/C₆×Q₈ → C₂ ⊆ Aut C₃	96		C3:2(Q8xC2xC6)	288,995

Non-split extensions G=N.Q with N=C₃ and Q=Q₈×C₂×C₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.(Q₈×C₂×C₆) = Q₈×C₂×C₁₈	central extension (φ=1)	288		C3.(Q8xC2xC6)	288,369

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Extensions 1→N→G→Q→1 with N=C3 and Q=Q8×C2×C6