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
C₂×C₁₂²		288		C2xC12^2	288,811

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) = C₂×C₄×C₃²⋊C₄	φ: C₂×C₄²/C₂×C₄ → C₄ ⊆ Aut C₃²	48		C3^2:1(C2xC4^2)	288,932
C₃²⋊₂(C₂×C₄²) = C₄×S₃×Dic₃	φ: C₂×C₄²/C₂×C₄ → C₂² ⊆ Aut C₃²	96		C3^2:2(C2xC4^2)	288,523
C₃²⋊₃(C₂×C₄²) = C₄×C₆.D₆	φ: C₂×C₄²/C₂×C₄ → C₂² ⊆ Aut C₃²	48		C3^2:3(C2xC4^2)	288,530
C₃²⋊₄(C₂×C₄²) = C₂×Dic₃²	φ: C₂×C₄²/C₂³ → C₂² ⊆ Aut C₃²	96		C3^2:4(C2xC4^2)	288,602
C₃²⋊₅(C₂×C₄²) = S₃×C₄×C₁₂	φ: C₂×C₄²/C₄² → C₂ ⊆ Aut C₃²	96		C3^2:5(C2xC4^2)	288,642
C₃²⋊₆(C₂×C₄²) = C₄²×C₃⋊S₃	φ: C₂×C₄²/C₄² → C₂ ⊆ Aut C₃²	144		C3^2:6(C2xC4^2)	288,728
C₃²⋊₇(C₂×C₄²) = Dic₃×C₂×C₁₂	φ: C₂×C₄²/C₂²×C₄ → C₂ ⊆ Aut C₃²	96		C3^2:7(C2xC4^2)	288,693
C₃²⋊₈(C₂×C₄²) = C₂×C₄×C₃⋊Dic₃	φ: C₂×C₄²/C₂²×C₄ → C₂ ⊆ Aut C₃²	288		C3^2:8(C2xC4^2)	288,779

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