Extensions 1→N→G→Q→1 with N=C₃² and Q=C₂²≀C₂

Direct product G=N×Q with N=C₃² and Q=C₂²≀C₂

		d	ρ	Label	ID
C₃²×C₂²≀C₂		72		C3^2xC2^2wrC2	288,817

Semidirect products G=N:Q with N=C₃² and Q=C₂²≀C₂

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃²⋊C₂²≀C₂ = D₆≀C₂	φ: C₂²≀C₂/C₂² → D₄ ⊆ Aut C₃²	12	4+	C3^2:C2^2wrC2	288,889
C₃²⋊₂C₂²≀C₂ = D₆⋊₄D₁₂	φ: C₂²≀C₂/C₂×C₄ → C₂² ⊆ Aut C₃²	48		C3^2:2C2^2wrC2	288,570
C₃²⋊₃C₂²≀C₂ = D₆⋊₅D₁₂	φ: C₂²≀C₂/C₂×C₄ → C₂² ⊆ Aut C₃²	48		C3^2:3C2^2wrC2	288,571
C₃²⋊₄C₂²≀C₂ = C₆²⋊₄D₄	φ: C₂²≀C₂/C₂³ → C₂² ⊆ Aut C₃²	48		C3^2:4C2^2wrC2	288,624
C₃²⋊₅C₂²≀C₂ = C₆²⋊₅D₄	φ: C₂²≀C₂/C₂³ → C₂² ⊆ Aut C₃²	48		C3^2:5C2^2wrC2	288,625
C₃²⋊₆C₂²≀C₂ = C₆²⋊₈D₄	φ: C₂²≀C₂/C₂³ → C₂² ⊆ Aut C₃²	24		C3^2:6C2^2wrC2	288,629
C₃²⋊₇C₂²≀C₂ = C₆².₁₂₅C₂³	φ: C₂²≀C₂/C₂³ → C₂² ⊆ Aut C₃²	48		C3^2:7C2^2wrC2	288,631
C₃²⋊₈C₂²≀C₂ = C₃×D₆⋊D₄	φ: C₂²≀C₂/C₂²⋊C₄ → C₂ ⊆ Aut C₃²	48		C3^2:8C2^2wrC2	288,653
C₃²⋊₉C₂²≀C₂ = C₆²⋊₁₂D₄	φ: C₂²≀C₂/C₂²⋊C₄ → C₂ ⊆ Aut C₃²	72		C3^2:9C2^2wrC2	288,739
C₃²⋊₁₀C₂²≀C₂ = C₃×C₂³⋊₂D₆	φ: C₂²≀C₂/C₂×D₄ → C₂ ⊆ Aut C₃²	48		C3^2:10C2^2wrC2	288,708
C₃²⋊₁₁C₂²≀C₂ = C₆²⋊₁₃D₄	φ: C₂²≀C₂/C₂×D₄ → C₂ ⊆ Aut C₃²	72		C3^2:11C2^2wrC2	288,794
C₃²⋊₁₂C₂²≀C₂ = C₃×C₂⁴⋊₄S₃	φ: C₂²≀C₂/C₂⁴ → C₂ ⊆ Aut C₃²	24		C3^2:12C2^2wrC2	288,724
C₃²⋊₁₃C₂²≀C₂ = C₆²⋊₂₄D₄	φ: C₂²≀C₂/C₂⁴ → C₂ ⊆ Aut C₃²	72		C3^2:13C2^2wrC2	288,810

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁