Extensions 1→N→G→Q→1 with N=C₃² and Q=C₄.D₄

Direct product G=N×Q with N=C₃² and Q=C₄.D₄

		d	ρ	Label	ID
C₃²×C₄.D₄		72		C3^2xC4.D4	288,318

Semidirect products G=N:Q with N=C₃² and Q=C₄.D₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃²⋊(C₄.D₄) = C₄.S₃≀C₂	φ: C₄.D₄/C₄ → D₄ ⊆ Aut C₃²	24	4	C3^2:(C4.D4)	288,375
C₃²⋊₂(C₄.D₄) = C₁₂.D₁₂	φ: C₄.D₄/C₂×C₄ → C₂² ⊆ Aut C₃²	48	4	C3^2:2(C4.D4)	288,206
C₃²⋊₃(C₄.D₄) = C₁₂.₇₀D₁₂	φ: C₄.D₄/C₂×C₄ → C₂² ⊆ Aut C₃²	24	4+	C3^2:3(C4.D4)	288,207
C₃²⋊₄(C₄.D₄) = (C₂×C₆²).C₄	φ: C₄.D₄/C₂³ → C₄ ⊆ Aut C₃²	24	4	C3^2:4(C4.D4)	288,436
C₃²⋊₅(C₄.D₄) = C₃×C₁₂.₄₆D₄	φ: C₄.D₄/M₄(2) → C₂ ⊆ Aut C₃²	48	4	C3^2:5(C4.D4)	288,257
C₃²⋊₆(C₄.D₄) = C₁₂.₁₉D₁₂	φ: C₄.D₄/M₄(2) → C₂ ⊆ Aut C₃²	72		C3^2:6(C4.D4)	288,298
C₃²⋊₇(C₄.D₄) = C₃×C₁₂.D₄	φ: C₄.D₄/C₂×D₄ → C₂ ⊆ Aut C₃²	24	4	C3^2:7(C4.D4)	288,267
C₃²⋊₈(C₄.D₄) = (C₆×D₄).S₃	φ: C₄.D₄/C₂×D₄ → C₂ ⊆ Aut C₃²	72		C3^2:8(C4.D4)	288,308

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