Extensions 1→N→G→Q→1 with N=C₃ and Q=C₂×C₂²⋊C₈

Direct product G=N×Q with N=C₃ and Q=C₂×C₂²⋊C₈

		d	ρ	Label	ID
C₆×C₂²⋊C₈		96		C6xC2^2:C8	192,839

Semidirect products G=N:Q with N=C₃ and Q=C₂×C₂²⋊C₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊₁(C₂×C₂²⋊C₈) = S₃×C₂²⋊C₈	φ: C₂×C₂²⋊C₈/C₂²⋊C₈ → C₂ ⊆ Aut C₃	48		C3:1(C2xC2^2:C8)	192,283
C₃⋊₂(C₂×C₂²⋊C₈) = C₂×D₆⋊C₈	φ: C₂×C₂²⋊C₈/C₂²×C₈ → C₂ ⊆ Aut C₃	96		C3:2(C2xC2^2:C8)	192,667
C₃⋊₃(C₂×C₂²⋊C₈) = C₂×C₁₂.₅₅D₄	φ: C₂×C₂²⋊C₈/C₂³×C₄ → C₂ ⊆ Aut C₃	96		C3:3(C2xC2^2:C8)	192,765

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