C₅²×C₁₉×D₃₇ #47975847

order	35150
automorphism	?
homology	Abelianization (H₁) = C₂×C₅²×C₁₉ · Schur multiplier (H₂) = C₅

Aliases

direct product	C₅²×C₁₉×D₃₇
unambiguous semidirect product	C₃₇⋊(C₂×C₅²×C₁₉)

	subgroup	G/H
center, hypercenter	C₅²×C₁₉	D₃₇
commutator, cosocle, hypocenter	C₃₇	C₂×C₅²×C₁₉
Frattini	C₁	G
Fitting, socle	C₅²×C₁₉×C₃₇	C₂
LCS	G ▷ C₃₇
UCS	C₁ ◁ C₅²×C₁₉

64 conjugacy classes of subgroups.

μ_t(G) = 17575

9500 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(35150, 10);