Extensions 1→N→G→Q→1 with N=C₄ and Q=Q₈×C₃²

Direct product G=N×Q with N=C₄ and Q=Q₈×C₃²

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

Semidirect products G=N:Q with N=C₄ and Q=Q₈×C₃²

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄⋊(Q₈×C₃²) = C₃²×C₄⋊Q₈	φ: Q₈×C₃²/C₃×C₁₂ → C₂ ⊆ Aut C₄	288		C4:(Q8xC3^2)	288,825

Non-split extensions G=N.Q with N=C₄ and Q=Q₈×C₃²

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄.₁(Q₈×C₃²) = C₃²×C₄.Q₈	φ: Q₈×C₃²/C₃×C₁₂ → C₂ ⊆ Aut C₄	288		C4.1(Q8xC3^2)	288,324
C₄.₂(Q₈×C₃²) = C₃²×C₂.D₈	φ: Q₈×C₃²/C₃×C₁₂ → C₂ ⊆ Aut C₄	288		C4.2(Q8xC3^2)	288,325
C₄.₃(Q₈×C₃²) = C₃²×C₄².C₂	φ: Q₈×C₃²/C₃×C₁₂ → C₂ ⊆ Aut C₄	288		C4.3(Q8xC3^2)	288,822
C₄.₄(Q₈×C₃²) = C₃²×C₄⋊C₈	central extension (φ=1)	288		C4.4(Q8xC3^2)	288,323

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