Extensions 1→N→G→Q→1 with N=C₃² and Q=C₂.C₄²

Direct product G=N×Q with N=C₃² and Q=C₂.C₄²

		d	ρ	Label	ID
C₃²×C₂.C₄²		288		C3^2xC2.C4^2	288,313

Semidirect products G=N:Q with N=C₃² and Q=C₂.C₄²

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃²⋊₁(C₂.C₄²) = C₆².D₄	φ: C₂.C₄²/C₂² → D₄ ⊆ Aut C₃²	48		C3^2:1(C2.C4^2)	288,385
C₃²⋊₂(C₂.C₄²) = C₆².Q₈	φ: C₂.C₄²/C₂² → Q₈ ⊆ Aut C₃²	48		C3^2:2(C2.C4^2)	288,395
C₃²⋊₃(C₂.C₄²) = (C₆×C₁₂)⋊₂C₄	φ: C₂.C₄²/C₂×C₄ → C₄ ⊆ Aut C₃²	48		C3^2:3(C2.C4^2)	288,429
C₃²⋊₄(C₂.C₄²) = C₆².₆Q₈	φ: C₂.C₄²/C₂³ → C₂² ⊆ Aut C₃²	96		C3^2:4(C2.C4^2)	288,227
C₃²⋊₅(C₂.C₄²) = C₃×C₆.C₄²	φ: C₂.C₄²/C₂²×C₄ → C₂ ⊆ Aut C₃²	96		C3^2:5(C2.C4^2)	288,265
C₃²⋊₆(C₂.C₄²) = C₆².₁₅Q₈	φ: C₂.C₄²/C₂²×C₄ → C₂ ⊆ Aut C₃²	288		C3^2:6(C2.C4^2)	288,306

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