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

Direct product G=N×Q with N=C₃² and Q=C₄⋊₁D₄

		d	ρ	Label	ID
C₃²×C₄⋊₁D₄		144		C3^2xC4:1D4	288,824

Semidirect products G=N:Q with N=C₃² and Q=C₄⋊₁D₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃²⋊(C₄⋊₁D₄) = C₄⋊S₃≀C₂	φ: C₄⋊₁D₄/C₄ → D₄ ⊆ Aut C₃²	24	8+	C3^2:(C4:1D4)	288,879
C₃²⋊₂(C₄⋊₁D₄) = C₁₂⋊D₁₂	φ: C₄⋊₁D₄/C₂×C₄ → C₂² ⊆ Aut C₃²	48		C3^2:2(C4:1D4)	288,559
C₃²⋊₃(C₄⋊₁D₄) = C₆².₈₄C₂³	φ: C₄⋊₁D₄/C₂×C₄ → C₂² ⊆ Aut C₃²	96		C3^2:3(C4:1D4)	288,562
C₃²⋊₄(C₄⋊₁D₄) = C₆².₁₂₁C₂³	φ: C₄⋊₁D₄/C₂³ → C₂² ⊆ Aut C₃²	48		C3^2:4(C4:1D4)	288,627
C₃²⋊₅(C₄⋊₁D₄) = C₃×C₄⋊D₁₂	φ: C₄⋊₁D₄/C₄² → C₂ ⊆ Aut C₃²	96		C3^2:5(C4:1D4)	288,645
C₃²⋊₆(C₄⋊₁D₄) = C₁₂⋊₄D₁₂	φ: C₄⋊₁D₄/C₄² → C₂ ⊆ Aut C₃²	144		C3^2:6(C4:1D4)	288,731
C₃²⋊₇(C₄⋊₁D₄) = C₃×C₁₂⋊₃D₄	φ: C₄⋊₁D₄/C₂×D₄ → C₂ ⊆ Aut C₃²	48		C3^2:7(C4:1D4)	288,711
C₃²⋊₈(C₄⋊₁D₄) = C₆².₂₅₈C₂³	φ: C₄⋊₁D₄/C₂×D₄ → C₂ ⊆ Aut C₃²	144		C3^2:8(C4:1D4)	288,797

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