Extensions 1→N→G→Q→1 with N=C₃ and Q=C₄².₇₈C₂²

Direct product G=N×Q with N=C₃ and Q=C₄².₇₈C₂²

		d	ρ	Label	ID
C₃×C₄².₇₈C₂²		96		C3xC4^2.78C2^2	192,921

Semidirect products G=N:Q with N=C₃ and Q=C₄².₇₈C₂²

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊₁(C₄².₇₈C₂²) = C₄².₂₆₄D₆	φ: C₄².₇₈C₂²/C₄×C₈ → C₂ ⊆ Aut C₃	96		C3:1(C4^2.78C2^2)	192,256
C₃⋊₂(C₄².₇₈C₂²) = (C₂×C₈).₂₀₀D₆	φ: C₄².₇₈C₂²/D₄⋊C₄ → C₂ ⊆ Aut C₃	96		C3:2(C4^2.78C2^2)	192,327
C₃⋊₃(C₄².₇₈C₂²) = Q₈⋊C₄⋊S₃	φ: C₄².₇₈C₂²/Q₈⋊C₄ → C₂ ⊆ Aut C₃	96		C3:3(C4^2.78C2^2)	192,359
C₃⋊₄(C₄².₇₈C₂²) = C₄².₂₁₃D₆	φ: C₄².₇₈C₂²/C₄.₄D₄ → C₂ ⊆ Aut C₃	96		C3:4(C4^2.78C2^2)	192,615
C₃⋊₅(C₄².₇₈C₂²) = C₄².₂₁₆D₆	φ: C₄².₇₈C₂²/C₄².C₂ → C₂ ⊆ Aut C₃	96		C3:5(C4^2.78C2^2)	192,627

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