Extensions 1→N→G→Q→1 with N=C₃ and Q=C₈⋊₆D₄

Direct product G=N×Q with N=C₃ and Q=C₈⋊₆D₄

		d	ρ	Label	ID
C₃×C₈⋊₆D₄		96		C3xC8:6D4	192,869

Semidirect products G=N:Q with N=C₃ and Q=C₈⋊₆D₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊₁(C₈⋊₆D₄) = C₈⋊₆D₁₂	φ: C₈⋊₆D₄/C₄×C₈ → C₂ ⊆ Aut C₃	96		C3:1(C8:6D4)	192,247
C₃⋊₂(C₈⋊₆D₄) = Dic₃⋊M₄(2)	φ: C₈⋊₆D₄/C₂²⋊C₈ → C₂ ⊆ Aut C₃	96		C3:2(C8:6D4)	192,288
C₃⋊₃(C₈⋊₆D₄) = C₁₂⋊₂M₄(2)	φ: C₈⋊₆D₄/C₄⋊C₈ → C₂ ⊆ Aut C₃	96		C3:3(C8:6D4)	192,397
C₃⋊₄(C₈⋊₆D₄) = C₁₂⋊₃M₄(2)	φ: C₈⋊₆D₄/C₄×D₄ → C₂ ⊆ Aut C₃	96		C3:4(C8:6D4)	192,571
C₃⋊₅(C₈⋊₆D₄) = C₂₄⋊₂₁D₄	φ: C₈⋊₆D₄/C₂×M₄(2) → C₂ ⊆ Aut C₃	96		C3:5(C8:6D4)	192,687

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