Extensions 1→N→G→Q→1 with N=C₃ and Q=C₄².₇C₂²

Direct product G=N×Q with N=C₃ and Q=C₄².₇C₂²

		d	ρ	Label	ID
C₃×C₄².₇C₂²		96		C3xC4^2.7C2^2	192,866

Semidirect products G=N:Q with N=C₃ and Q=C₄².₇C₂²

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊₁(C₄².₇C₂²) = C₄².₂₄₃D₆	φ: C₄².₇C₂²/C₄×C₈ → C₂ ⊆ Aut C₃	96		C3:1(C4^2.7C2^2)	192,249
C₃⋊₂(C₄².₇C₂²) = C₄².₁₈₅D₆	φ: C₄².₇C₂²/C₈⋊C₄ → C₂ ⊆ Aut C₃	96		C3:2(C4^2.7C2^2)	192,268
C₃⋊₃(C₄².₇C₂²) = C₂₄⋊C₄⋊C₂	φ: C₄².₇C₂²/C₂²⋊C₈ → C₂ ⊆ Aut C₃	96		C3:3(C4^2.7C2^2)	192,279
C₃⋊₄(C₄².₇C₂²) = C₄².₃₁D₆	φ: C₄².₇C₂²/C₄⋊C₈ → C₂ ⊆ Aut C₃	96		C3:4(C4^2.7C2^2)	192,399
C₃⋊₅(C₄².₇C₂²) = C₄².₁₈₇D₆	φ: C₄².₇C₂²/C₄²⋊C₂ → C₂ ⊆ Aut C₃	96		C3:5(C4^2.7C2^2)	192,559

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