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

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

		d	ρ	Label	ID
C₁₂×C₃⋊C₈		96		C12xC3:C8	288,236

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊₁(C₄×C₃⋊C₈) = Dic₃×C₃⋊C₈	φ: C₄×C₃⋊C₈/C₂×C₃⋊C₈ → C₂ ⊆ Aut C₃	96		C3:1(C4xC3:C8)	288,200
C₃⋊₂(C₄×C₃⋊C₈) = C₄×C₃²⋊₄C₈	φ: C₄×C₃⋊C₈/C₄×C₁₂ → C₂ ⊆ Aut C₃	288		C3:2(C4xC3:C8)	288,277

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.(C₄×C₃⋊C₈) = C₄×C₉⋊C₈	φ: C₄×C₃⋊C₈/C₄×C₁₂ → C₂ ⊆ Aut C₃	288		C3.(C4xC3:C8)	288,9

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