Extensions 1→N→G→Q→1 with N=C₃ and Q=C₂⁴.₃C₂²

Direct product G=N×Q with N=C₃ and Q=C₂⁴.₃C₂²

		d	ρ	Label	ID
C₃×C₂⁴.₃C₂²		96		C3xC2^4.3C2^2	192,823

Semidirect products G=N:Q with N=C₃ and Q=C₂⁴.₃C₂²

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊₁(C₂⁴.₃C₂²) = (C₂×C₄)⋊₆D₁₂	φ: C₂⁴.₃C₂²/C₂×C₄² → C₂ ⊆ Aut C₃	96		C3:1(C2^4.3C2^2)	192,498
C₃⋊₂(C₂⁴.₃C₂²) = C₂⁴.₂₄D₆	φ: C₂⁴.₃C₂²/C₂×C₂²⋊C₄ → C₂ ⊆ Aut C₃	96		C3:2(C2^4.3C2^2)	192,516
C₃⋊₃(C₂⁴.₃C₂²) = (C₂×D₁₂)⋊₁₀C₄	φ: C₂⁴.₃C₂²/C₂×C₄⋊C₄ → C₂ ⊆ Aut C₃	96		C3:3(C2^4.3C2^2)	192,547
C₃⋊₄(C₂⁴.₃C₂²) = C₂⁴.₃₀D₆	φ: C₂⁴.₃C₂²/C₂²×D₄ → C₂ ⊆ Aut C₃	96		C3:4(C2^4.3C2^2)	192,780

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