Extensions 1→N→G→Q→1 with N=C₃ and Q=C₂³.₂₄D₄

Direct product G=N×Q with N=C₃ and Q=C₂³.₂₄D₄

		d	ρ	Label	ID
C₃×C₂³.₂₄D₄		96		C3xC2^3.24D4	192,849

Semidirect products G=N:Q with N=C₃ and Q=C₂³.₂₄D₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊₁(C₂³.₂₄D₄) = D₄⋊₂S₃⋊C₄	φ: C₂³.₂₄D₄/D₄⋊C₄ → C₂ ⊆ Aut C₃	96		C3:1(C2^3.24D4)	192,331
C₃⋊₂(C₂³.₂₄D₄) = C₄⋊C₄.₁₅₀D₆	φ: C₂³.₂₄D₄/Q₈⋊C₄ → C₂ ⊆ Aut C₃	96		C3:2(C2^3.24D4)	192,363
C₃⋊₃(C₂³.₂₄D₄) = C₄.(C₂×D₁₂)	φ: C₂³.₂₄D₄/C₄²⋊C₂ → C₂ ⊆ Aut C₃	96		C3:3(C2^3.24D4)	192,561
C₃⋊₄(C₂³.₂₄D₄) = C₂³.₂₈D₁₂	φ: C₂³.₂₄D₄/C₂²×C₈ → C₂ ⊆ Aut C₃	96		C3:4(C2^3.24D4)	192,672
C₃⋊₅(C₂³.₂₄D₄) = C₄○D₄⋊₄Dic₃	φ: C₂³.₂₄D₄/C₂×C₄○D₄ → C₂ ⊆ Aut C₃	96		C3:5(C2^3.24D4)	192,792

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