C₅×D₉×D₁₀₁ #32911397

order	18180
automorphism	?
homology	Abelianization (H₁) = C₂²×C₅ · Schur multiplier (H₂) = C₂

Aliases

C₅×D₉×D₁₀₁

	subgroup	G/H
center, hypercenter	C₅	D₉×D₁₀₁
commutator, cosocle, hypocenter	C₉×C₁₀₁	C₂²×C₅
Frattini	C₃	C₅×D₃×D₁₀₁
Fitting	C₅×C₉×C₁₀₁	C₂²
socle	C₃×C₅×C₁₀₁	C₂×D₃
LCS	G ▷ C₉×C₁₀₁
UCS	C₁ ◁ C₅

60 conjugacy classes of subgroups.

μ_t(G) = 4545

1560 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(18180, 30);