Extensions 1→N→G→Q→1 with N=C₃ and Q=C₄²⋊₈C₄

Direct product G=N×Q with N=C₃ and Q=C₄²⋊₈C₄

		d	ρ	Label	ID
C₃×C₄²⋊₈C₄		192		C3xC4^2:8C4	192,815

Semidirect products G=N:Q with N=C₃ and Q=C₄²⋊₈C₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊₁(C₄²⋊₈C₄) = C₃⋊(C₄²⋊₈C₄)	φ: C₄²⋊₈C₄/C₂.C₄² → C₂ ⊆ Aut C₃	192		C3:1(C4^2:8C4)	192,209
C₃⋊₂(C₄²⋊₈C₄) = C₄²⋊₁₁Dic₃	φ: C₄²⋊₈C₄/C₂×C₄² → C₂ ⊆ Aut C₃	192		C3:2(C4^2:8C4)	192,495
C₃⋊₃(C₄²⋊₈C₄) = (C₄×Dic₃)⋊₉C₄	φ: C₄²⋊₈C₄/C₂×C₄⋊C₄ → C₂ ⊆ Aut C₃	192		C3:3(C4^2:8C4)	192,536

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