Extensions 1→N→G→Q→1 with N=C₃ and Q=D₄⋊₄D₄

Direct product G=N×Q with N=C₃ and Q=D₄⋊₄D₄

		d	ρ	Label	ID
C₃×D₄⋊₄D₄		24	4	C3xD4:4D4	192,886

Semidirect products G=N:Q with N=C₃ and Q=D₄⋊₄D₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊₁(D₄⋊₄D₄) = D₁₂⋊₁D₄	φ: D₄⋊₄D₄/C₄.D₄ → C₂ ⊆ Aut C₃	24	8+	C3:1(D4:4D4)	192,306
C₃⋊₂(D₄⋊₄D₄) = Q₈⋊₅D₁₂	φ: D₄⋊₄D₄/C₄≀C₂ → C₂ ⊆ Aut C₃	24	4+	C3:2(D4:4D4)	192,381
C₃⋊₃(D₄⋊₄D₄) = C₄²⋊₈D₆	φ: D₄⋊₄D₄/C₄⋊₁D₄ → C₂ ⊆ Aut C₃	24	4	C3:3(D4:4D4)	192,636
C₃⋊₄(D₄⋊₄D₄) = D₁₂⋊₁₈D₄	φ: D₄⋊₄D₄/C₈⋊C₂² → C₂ ⊆ Aut C₃	24	8+	C3:4(D4:4D4)	192,757
C₃⋊₅(D₄⋊₄D₄) = 2₊¹⁺⁴⋊₆S₃	φ: D₄⋊₄D₄/2₊¹⁺⁴ → C₂ ⊆ Aut C₃	24	8+	C3:5(D4:4D4)	192,800

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