Extensions 1→N→G→Q→1 with N=C₃ and Q=C₄².₆C₂²

Direct product G=N×Q with N=C₃ and Q=C₄².₆C₂²

		d	ρ	Label	ID
C₃×C₄².₆C₂²		96		C3xC4^2.6C2^2	192,857

Semidirect products G=N:Q with N=C₃ and Q=C₄².₆C₂²

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊₁(C₄².₆C₂²) = C₄².₃₀D₆	φ: C₄².₆C₂²/C₄⋊C₈ → C₂ ⊆ Aut C₃	96		C3:1(C4^2.6C2^2)	192,398
C₃⋊₂(C₄².₆C₂²) = C₄².₄₃D₆	φ: C₄².₆C₂²/C₄²⋊C₂ → C₂ ⊆ Aut C₃	96		C3:2(C4^2.6C2^2)	192,558
C₃⋊₃(C₄².₆C₂²) = Dic₃⋊C₈⋊C₂	φ: C₄².₆C₂²/C₂²×C₈ → C₂ ⊆ Aut C₃	96		C3:3(C4^2.6C2^2)	192,661
C₃⋊₄(C₄².₆C₂²) = C₁₂.₈₈(C₂×Q₈)	φ: C₄².₆C₂²/C₂×M₄(2) → C₂ ⊆ Aut C₃	96		C3:4(C4^2.6C2^2)	192,678

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