C₂×C₃²×C₅²×D₄₁ #49147204

order	36900
automorphism	?
homology	Abelianization (H₁) = C₂²×C₃²×C₅² · Schur multiplier (H₂) = C₂×C₃×C₅

Aliases

C₂×C₃²×C₅²×D₄₁

	subgroup	G/H
center, hypercenter	C₂×C₃²×C₅²	D₄₁
commutator, cosocle, hypocenter	C₄₁	C₂²×C₃²×C₅²
Frattini	C₁	G
Fitting, socle	C₂×C₃²×C₅²×C₄₁	C₂
LCS	G ▷ C₄₁
UCS	C₁ ◁ C₂×C₃²×C₅²

480 conjugacy classes of subgroups.

μ_t(G) = 18450

9900 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(36900, 605);