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

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

		d	ρ	Label	ID
C₃×C₄⋊D₄		48		C3xC4:D4	96,168

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊₁(C₄⋊D₄) = Dic₃⋊D₄	φ: C₄⋊D₄/C₂²⋊C₄ → C₂ ⊆ Aut C₃	48		C3:1(C4:D4)	96,91
C₃⋊₂(C₄⋊D₄) = C₁₂⋊D₄	φ: C₄⋊D₄/C₄⋊C₄ → C₂ ⊆ Aut C₃	48		C3:2(C4:D4)	96,102
C₃⋊₃(C₄⋊D₄) = C₁₂⋊₇D₄	φ: C₄⋊D₄/C₂²×C₄ → C₂ ⊆ Aut C₃	48		C3:3(C4:D4)	96,137
C₃⋊₄(C₄⋊D₄) = D₆⋊₃D₄	φ: C₄⋊D₄/C₂×D₄ → C₂ ⊆ Aut C₃	48		C3:4(C4:D4)	96,145
C₃⋊₅(C₄⋊D₄) = C₂³.₁₄D₆	φ: C₄⋊D₄/C₂×D₄ → C₂ ⊆ Aut C₃	48		C3:5(C4:D4)	96,146

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