Extensions 1→N→G→Q→1 with N=C₃ and Q=D₄⋊₆D₄

Direct product G=N×Q with N=C₃ and Q=D₄⋊₆D₄

		d	ρ	Label	ID
C₃×D₄⋊₆D₄		96		C3xD4:6D4	192,1436

Semidirect products G=N:Q with N=C₃ and Q=D₄⋊₆D₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊₁(D₄⋊₆D₄) = C₆.2_-¹⁺⁴	φ: D₄⋊₆D₄/C₂×C₄⋊C₄ → C₂ ⊆ Aut C₃	96		C3:1(D4:6D4)	192,1066
C₃⋊₂(D₄⋊₆D₄) = D₁₂⋊₂₄D₄	φ: D₄⋊₆D₄/C₄×D₄ → C₂ ⊆ Aut C₃	96		C3:2(D4:6D4)	192,1110
C₃⋊₃(D₄⋊₆D₄) = D₄⋊₆D₁₂	φ: D₄⋊₆D₄/C₄×D₄ → C₂ ⊆ Aut C₃	96		C3:3(D4:6D4)	192,1114
C₃⋊₄(D₄⋊₆D₄) = C₆.₇₃2_-¹⁺⁴	φ: D₄⋊₆D₄/C₄⋊D₄ → C₂ ⊆ Aut C₃	96		C3:4(D4:6D4)	192,1170
C₃⋊₅(D₄⋊₆D₄) = D₁₂⋊₂₂D₄	φ: D₄⋊₆D₄/C₂²⋊Q₈ → C₂ ⊆ Aut C₃	96		C3:5(D4:6D4)	192,1190
C₃⋊₆(D₄⋊₆D₄) = C₆.₈₂2_-¹⁺⁴	φ: D₄⋊₆D₄/C₂².D₄ → C₂ ⊆ Aut C₃	96		C3:6(D4:6D4)	192,1214
C₃⋊₇(D₄⋊₆D₄) = D₁₂⋊₁₂D₄	φ: D₄⋊₆D₄/C₄⋊Q₈ → C₂ ⊆ Aut C₃	96		C3:7(D4:6D4)	192,1285
C₃⋊₈(D₄⋊₆D₄) = C₆.₁₀₄2_-¹⁺⁴	φ: D₄⋊₆D₄/C₂×C₄○D₄ → C₂ ⊆ Aut C₃	96		C3:8(D4:6D4)	192,1383

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