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

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

		d	ρ	Label	ID
C₃²×C₈⋊C₄		288		C3^2xC8:C4	288,315

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊₁(C₃×C₈⋊C₄) = C₃×C₄².S₃	φ: C₃×C₈⋊C₄/C₄×C₁₂ → C₂ ⊆ Aut C₃	96		C3:1(C3xC8:C4)	288,237
C₃⋊₂(C₃×C₈⋊C₄) = C₃×C₂₄⋊C₄	φ: C₃×C₈⋊C₄/C₂×C₂₄ → C₂ ⊆ Aut C₃	96		C3:2(C3xC8:C4)	288,249

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.(C₃×C₈⋊C₄) = C₉×C₈⋊C₄	central extension (φ=1)	288		C3.(C3xC8:C4)	288,47

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