C₂×C₃²×C₅²×D₃₇ #45686509

order	33300
automorphism	?
homology	Abelianization (H₁) = C₂²×C₃²×C₅² · Schur multiplier (H₂) = C₂×C₃×C₅

Aliases

C₂×C₃²×C₅²×D₃₇

	subgroup	G/H
center, hypercenter	C₂×C₃²×C₅²	D₃₇
commutator, cosocle, hypocenter	C₃₇	C₂²×C₃²×C₅²
Frattini	C₁	G
Fitting, socle	C₂×C₃²×C₅²×C₃₇	C₂
LCS	G ▷ C₃₇
UCS	C₁ ◁ C₂×C₃²×C₅²

480 conjugacy classes of subgroups.

μ_t(G) = 16650

9000 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(33300, 782);