Extensions 1→N→G→Q→1 with N=C₃ and Q=Q₈×C₁₂

Direct product G=N×Q with N=C₃ and Q=Q₈×C₁₂

		d	ρ	Label	ID
Q₈×C₃×C₁₂		288		Q8xC3xC12	288,816

Semidirect products G=N:Q with N=C₃ and Q=Q₈×C₁₂

extension	φ:Q→Aut N	d	Label	ID
C₃⋊₁(Q₈×C₁₂) = C₁₂×Dic₆	φ: Q₈×C₁₂/C₄×C₁₂ → C₂ ⊆ Aut C₃	96	C3:1(Q8xC12)	288,639
C₃⋊₂(Q₈×C₁₂) = C₃×Dic₆⋊C₄	φ: Q₈×C₁₂/C₃×C₄⋊C₄ → C₂ ⊆ Aut C₃	96	C3:2(Q8xC12)	288,658
C₃⋊₃(Q₈×C₁₂) = C₃×Q₈×Dic₃	φ: Q₈×C₁₂/C₆×Q₈ → C₂ ⊆ Aut C₃	96	C3:3(Q8xC12)	288,716

Non-split extensions G=N.Q with N=C₃ and Q=Q₈×C₁₂

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.(Q₈×C₁₂) = Q₈×C₃₆	central extension (φ=1)	288		C3.(Q8xC12)	288,169

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Extensions 1→N→G→Q→1 with N=C3 and Q=Q8×C12