Extensions 1→N→G→Q→1 with N=C₃²×He₃ and Q=C₂

Direct product G=N×Q with N=C₃²×He₃ and Q=C₂

		d	ρ	Label	ID
C₃×C₆×He₃		162		C3xC6xHe3	486,251

Semidirect products G=N:Q with N=C₃²×He₃ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₃²×He₃)⋊₁C₂ = C₃²×C₃²⋊C₆	φ: C₂/C₁ → C₂ ⊆ Out C₃²×He₃	54		(C3^2xHe3):1C2	486,222
(C₃²×He₃)⋊₂C₂ = C₃×S₃×He₃	φ: C₂/C₁ → C₂ ⊆ Out C₃²×He₃	54		(C3^2xHe3):2C2	486,223
(C₃²×He₃)⋊₃C₂ = C₃×He₃⋊₄S₃	φ: C₂/C₁ → C₂ ⊆ Out C₃²×He₃	54		(C3^2xHe3):3C2	486,229
(C₃²×He₃)⋊₄C₂ = C₃²×He₃⋊C₂	φ: C₂/C₁ → C₂ ⊆ Out C₃²×He₃	81		(C3^2xHe3):4C2	486,230
(C₃²×He₃)⋊₅C₂ = C₃⋊S₃×He₃	φ: C₂/C₁ → C₂ ⊆ Out C₃²×He₃	54		(C3^2xHe3):5C2	486,231
(C₃²×He₃)⋊₆C₂ = C₃⁴⋊₁₀C₆	φ: C₂/C₁ → C₂ ⊆ Out C₃²×He₃	81		(C3^2xHe3):6C2	486,242
(C₃²×He₃)⋊₇C₂ = C₃×He₃⋊₅S₃	φ: C₂/C₁ → C₂ ⊆ Out C₃²×He₃	54		(C3^2xHe3):7C2	486,243
(C₃²×He₃)⋊₈C₂ = C₃⁴⋊₁₃S₃	φ: C₂/C₁ → C₂ ⊆ Out C₃²×He₃	54		(C3^2xHe3):8C2	486,248

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁