Extensions 1→N→G→Q→1 with N=C₃ and Q=C₂²≀C₂

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

		d	ρ	Label	ID
C₃×C₂²≀C₂		24		C3xC2^2wrC2	96,167

Semidirect products G=N:Q with N=C₃ and Q=C₂²≀C₂

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊₁C₂²≀C₂ = D₆⋊D₄	φ: C₂²≀C₂/C₂²⋊C₄ → C₂ ⊆ Aut C₃	24		C3:1C2^2wrC2	96,89
C₃⋊₂C₂²≀C₂ = C₂³⋊₂D₆	φ: C₂²≀C₂/C₂×D₄ → C₂ ⊆ Aut C₃	24		C3:2C2^2wrC2	96,144
C₃⋊₃C₂²≀C₂ = C₂⁴⋊₄S₃	φ: C₂²≀C₂/C₂⁴ → C₂ ⊆ Aut C₃	24		C3:3C2^2wrC2	96,160

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