Extensions 1→N→G→Q→1 with N=C₃ and Q=C₃×C₄⋊C₈

Direct product G=N×Q with N=C₃ and Q=C₃×C₄⋊C₈

		d	ρ	Label	ID
C₃²×C₄⋊C₈		288		C3^2xC4:C8	288,323

Semidirect products G=N:Q with N=C₃ and Q=C₃×C₄⋊C₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊₁(C₃×C₄⋊C₈) = C₃×C₁₂⋊C₈	φ: C₃×C₄⋊C₈/C₄×C₁₂ → C₂ ⊆ Aut C₃	96		C3:1(C3xC4:C8)	288,238
C₃⋊₂(C₃×C₄⋊C₈) = C₃×Dic₃⋊C₈	φ: C₃×C₄⋊C₈/C₂×C₂₄ → C₂ ⊆ Aut C₃	96		C3:2(C3xC4:C8)	288,248

Non-split extensions G=N.Q with N=C₃ and Q=C₃×C₄⋊C₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.(C₃×C₄⋊C₈) = C₉×C₄⋊C₈	central extension (φ=1)	288		C3.(C3xC4:C8)	288,55

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Extensions 1→N→G→Q→1 with N=C3 and Q=C3×C4⋊C8