C₃×C₅×C₁₉×D₆₅ #49150321

order	37050
automorphism	?
homology	Abelianization (H₁) = C₂×C₃×C₅×C₁₉ · Schur multiplier (H₂) = C₁

Aliases

direct product	C₃×C₅×C₁₉×D₆₅
unambiguous semidirect product	C₅⋊(C₃×C₅×C₁₉×D₁₃)

	subgroup	G/H
center, hypercenter	C₃×C₅×C₁₉	D₆₅
commutator, cosocle, hypocenter	C₅×C₁₃	C₂×C₃×C₅×C₁₉
Frattini	C₁	G
Fitting, socle	C₃×C₅²×C₁₃×C₁₉	C₂
LCS	G ▷ C₅×C₁₃
UCS	C₁ ◁ C₃×C₅×C₁₉

80 conjugacy classes of subgroups.

μ_t(G) = 7410

9690 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(37050, 147);