Extensions 1→N→G→Q→1 with N=C₃ and Q=C₄×C₄○D₄

Direct product G=N×Q with N=C₃ and Q=C₄×C₄○D₄

		d	ρ	Label	ID
C₁₂×C₄○D₄		96		C12xC4oD4	192,1406

Semidirect products G=N:Q with N=C₃ and Q=C₄×C₄○D₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊₁(C₄×C₄○D₄) = C₄×C₄○D₁₂	φ: C₄×C₄○D₄/C₂×C₄² → C₂ ⊆ Aut C₃	96		C3:1(C4xC4oD4)	192,1033
C₃⋊₂(C₄×C₄○D₄) = C₄².₁₈₈D₆	φ: C₄×C₄○D₄/C₄²⋊C₂ → C₂ ⊆ Aut C₃	96		C3:2(C4xC4oD4)	192,1081
C₃⋊₃(C₄×C₄○D₄) = C₄×D₄⋊₂S₃	φ: C₄×C₄○D₄/C₄×D₄ → C₂ ⊆ Aut C₃	96		C3:3(C4xC4oD4)	192,1095
C₃⋊₄(C₄×C₄○D₄) = C₄×Q₈⋊₃S₃	φ: C₄×C₄○D₄/C₄×Q₈ → C₂ ⊆ Aut C₃	96		C3:4(C4xC4oD4)	192,1132
C₃⋊₅(C₄×C₄○D₄) = Dic₃×C₄○D₄	φ: C₄×C₄○D₄/C₂×C₄○D₄ → C₂ ⊆ Aut C₃	96		C3:5(C4xC4oD4)	192,1385

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