Extensions 1→N→G→Q→1 with N=C₃ and Q=C₄².₆C₄

Direct product G=N×Q with N=C₃ and Q=C₄².₆C₄

		d	ρ	Label	ID
C₃×C₄².₆C₄		96		C3xC4^2.6C4	192,865

Semidirect products G=N:Q with N=C₃ and Q=C₄².₆C₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊₁(C₄².₆C₄) = C₄².₁₈₂D₆	φ: C₄².₆C₄/C₈⋊C₄ → C₂ ⊆ Aut C₃	96		C3:1(C4^2.6C4)	192,264
C₃⋊₂(C₄².₆C₄) = Dic₃.M₄(2)	φ: C₄².₆C₄/C₂²⋊C₈ → C₂ ⊆ Aut C₃	96		C3:2(C4^2.6C4)	192,278
C₃⋊₃(C₄².₆C₄) = C₄².₂₀₂D₆	φ: C₄².₆C₄/C₄⋊C₈ → C₂ ⊆ Aut C₃	96		C3:3(C4^2.6C4)	192,394
C₃⋊₄(C₄².₆C₄) = C₄².₂₇₀D₆	φ: C₄².₆C₄/C₂×C₄² → C₂ ⊆ Aut C₃	96		C3:4(C4^2.6C4)	192,485

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