Extensions 1→N→G→Q→1 with N=C₃ and Q=C₂×C₄×C₈

Direct product G=N×Q with N=C₃ and Q=C₂×C₄×C₈

		d	ρ	Label	ID
C₂×C₄×C₂₄		192		C2xC4xC24	192,835

Semidirect products G=N:Q with N=C₃ and Q=C₂×C₄×C₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊₁(C₂×C₄×C₈) = S₃×C₄×C₈	φ: C₂×C₄×C₈/C₄×C₈ → C₂ ⊆ Aut C₃	96		C3:1(C2xC4xC8)	192,243
C₃⋊₂(C₂×C₄×C₈) = C₂×C₄×C₃⋊C₈	φ: C₂×C₄×C₈/C₂×C₄² → C₂ ⊆ Aut C₃	192		C3:2(C2xC4xC8)	192,479
C₃⋊₃(C₂×C₄×C₈) = Dic₃×C₂×C₈	φ: C₂×C₄×C₈/C₂²×C₈ → C₂ ⊆ Aut C₃	192		C3:3(C2xC4xC8)	192,657

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