C₂×C₃×C₃⋊#4208 #72243966

order	2916
automorphism	?
homology	Abelianization (H₁) = C₂²×C₃² · Schur multiplier (H₂) = C₂×C₃³

Aliases

Fitting	C₂×C₃²×#737 ⋊ C₂
Sylow	C₃²×#737 ⋊ C₂²

	subgroup	G/H
center, hypercenter	C₂×C₃×C₉	C₃⋊(C₃⋊D₃)
commutator, cosocle, hypocenter	C₃×H(3,𝔽₃)	C₂²×C₃²
Frattini	C₃	C₂×C₃²×C₃⋊(C₃⋊D₃)
Fitting	C₂×C₃²×#737	C₂
socle	C₂×C₃³	C₃×C₃⋊D₃
prime radical	C₂×C₃×C₃⋊#272	C₃
LCS	G ▷ C₃×H(3,𝔽₃)
UCS	C₁ ◁ C₂×C₃×C₉

3862 conjugacy classes of subgroups.

μ_t(G) = 324

378 conjugacy classes. The character table is too large to display.

Past the SmallGroups library coverage — no SmallGroups id.