Extensions 1→N→G→Q→1 with N=C₃ and Q=Q₈⋊₆D₄

Direct product G=N×Q with N=C₃ and Q=Q₈⋊₆D₄

		d	ρ	Label	ID
C₃×Q₈⋊₆D₄		96		C3xQ8:6D4	192,1439

Semidirect products G=N:Q with N=C₃ and Q=Q₈⋊₆D₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊₁(Q₈⋊₆D₄) = Dic₆⋊₂₄D₄	φ: Q₈⋊₆D₄/C₄×D₄ → C₂ ⊆ Aut C₃	96		C3:1(Q8:6D4)	192,1112
C₃⋊₂(Q₈⋊₆D₄) = Q₈⋊₇D₁₂	φ: Q₈⋊₆D₄/C₄×Q₈ → C₂ ⊆ Aut C₃	96		C3:2(Q8:6D4)	192,1136
C₃⋊₃(Q₈⋊₆D₄) = Dic₆⋊₂₀D₄	φ: Q₈⋊₆D₄/C₄⋊D₄ → C₂ ⊆ Aut C₃	96		C3:3(Q8:6D4)	192,1158
C₃⋊₄(Q₈⋊₆D₄) = Dic₆⋊₁₁D₄	φ: Q₈⋊₆D₄/C₄⋊₁D₄ → C₂ ⊆ Aut C₃	96		C3:4(Q8:6D4)	192,1277
C₃⋊₅(Q₈⋊₆D₄) = C₆.₁₄₈2₊¹⁺⁴	φ: Q₈⋊₆D₄/C₂×C₄○D₄ → C₂ ⊆ Aut C₃	96		C3:5(Q8:6D4)	192,1393

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