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		48	4	C3xD4.4D4	192,905

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) = D₁₂.₃D₄	φ: D₄.₄D₄/C₄.D₄ → C₂ ⊆ Aut C₃	48	8+	C3:1(D4.4D4)	192,308
C₃⋊₂(D₄.₄D₄) = C₂₄.₁₉D₄	φ: D₄.₄D₄/C₈.C₄ → C₂ ⊆ Aut C₃	48	4+	C3:2(D4.4D4)	192,456
C₃⋊₃(D₄.₄D₄) = Q₈.₉D₁₂	φ: D₄.₄D₄/C₈○D₄ → C₂ ⊆ Aut C₃	48	4+	C3:3(D4.4D4)	192,701
C₃⋊₄(D₄.₄D₄) = C₂₄.₂₃D₄	φ: D₄.₄D₄/C₂×D₈ → C₂ ⊆ Aut C₃	48	4	C3:4(D4.4D4)	192,719
C₃⋊₅(D₄.₄D₄) = M₄(2).D₆	φ: D₄.₄D₄/C₈⋊C₂² → C₂ ⊆ Aut C₃	48	8+	C3:5(D4.4D4)	192,758

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