Extensions 1→N→G→Q→1 with N=C₃ and Q=C₄²⋊₆C₄

Direct product G=N×Q with N=C₃ and Q=C₄²⋊₆C₄

		d	ρ	Label	ID
C₃×C₄²⋊₆C₄		48		C3xC4^2:6C4	192,145

Semidirect products G=N:Q with N=C₃ and Q=C₄²⋊₆C₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊₁(C₄²⋊₆C₄) = C₁₂.₈C₄²	φ: C₄²⋊₆C₄/C₂×C₄² → C₂ ⊆ Aut C₃	48		C3:1(C4^2:6C4)	192,82
C₃⋊₂(C₄²⋊₆C₄) = C₁₂.₂C₄²	φ: C₄²⋊₆C₄/C₄²⋊C₂ → C₂ ⊆ Aut C₃	48		C3:2(C4^2:6C4)	192,91
C₃⋊₃(C₄²⋊₆C₄) = C₁₂.₃C₄²	φ: C₄²⋊₆C₄/C₂×M₄(2) → C₂ ⊆ Aut C₃	48		C3:3(C4^2:6C4)	192,114

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