Extensions 1→N→G→Q→1 with N=C₃² and Q=C₄≀C₂

Direct product G=N×Q with N=C₃² and Q=C₄≀C₂

		d	ρ	Label	ID
C₃²×C₄≀C₂		72		C3^2xC4wrC2	288,322

Semidirect products G=N:Q with N=C₃² and Q=C₄≀C₂

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃²⋊₁C₄≀C₂ = C₃²⋊C₄≀C₂	φ: C₄≀C₂/C₄ → D₄ ⊆ Aut C₃²	48	4	C3^2:1C4wrC2	288,379
C₃²⋊₂C₄≀C₂ = Dic₃≀C₂	φ: C₄≀C₂/C₂² → D₄ ⊆ Aut C₃²	24	4-	C3^2:2C4wrC2	288,389
C₃²⋊₃C₄≀C₂ = D₁₂⋊₄Dic₃	φ: C₄≀C₂/C₂×C₄ → C₂² ⊆ Aut C₃²	24	4	C3^2:3C4wrC2	288,216
C₃²⋊₄C₄≀C₂ = D₁₂⋊₂Dic₃	φ: C₄≀C₂/C₂×C₄ → C₂² ⊆ Aut C₃²	48	4	C3^2:4C4wrC2	288,217
C₃²⋊₅C₄≀C₂ = C₁₂.₈₀D₁₂	φ: C₄≀C₂/C₂×C₄ → C₂² ⊆ Aut C₃²	48	4	C3^2:5C4wrC2	288,218
C₃²⋊₆C₄≀C₂ = C₃²⋊₆C₄≀C₂	φ: C₄≀C₂/D₄ → C₄ ⊆ Aut C₃²	48	8-	C3^2:6C4wrC2	288,431
C₃²⋊₇C₄≀C₂ = C₃²⋊₇C₄≀C₂	φ: C₄≀C₂/Q₈ → C₄ ⊆ Aut C₃²	48	8+	C3^2:7C4wrC2	288,433
C₃²⋊₈C₄≀C₂ = C₃×C₄²⋊₄S₃	φ: C₄≀C₂/C₄² → C₂ ⊆ Aut C₃²	24	2	C3^2:8C4wrC2	288,239
C₃²⋊₉C₄≀C₂ = C₁₂²⋊C₂	φ: C₄≀C₂/C₄² → C₂ ⊆ Aut C₃²	72		C3^2:9C4wrC2	288,280
C₃²⋊₁₀C₄≀C₂ = C₃×D₁₂⋊C₄	φ: C₄≀C₂/M₄(2) → C₂ ⊆ Aut C₃²	48	4	C3^2:10C4wrC2	288,259
C₃²⋊₁₁C₄≀C₂ = C₆².₃₇D₄	φ: C₄≀C₂/M₄(2) → C₂ ⊆ Aut C₃²	72		C3^2:11C4wrC2	288,300
C₃²⋊₁₂C₄≀C₂ = C₃×Q₈⋊₃Dic₃	φ: C₄≀C₂/C₄○D₄ → C₂ ⊆ Aut C₃²	48	4	C3^2:12C4wrC2	288,271
C₃²⋊₁₃C₄≀C₂ = C₆².₃₉D₄	φ: C₄≀C₂/C₄○D₄ → C₂ ⊆ Aut C₃²	72		C3^2:13C4wrC2	288,312

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