C₅×C₁₃×C₁₉×D₁₅ #49150331

order	37050
automorphism	?
homology	Abelianization (H₁) = C₂×C₅×C₁₃×C₁₉ · Schur multiplier (H₂) = C₁

Aliases

direct product	C₅×C₁₃×C₁₉×D₁₅
unambiguous semidirect product	C₃⋊(C₅×D₅×C₁₃×C₁₉)
unambiguous semidirect product	C₅⋊(C₅×D₃×C₁₃×C₁₉)

	subgroup	G/H
center, hypercenter	C₅×C₁₃×C₁₉	D₁₅
commutator, cosocle, hypocenter	C₃×C₅	C₂×C₅×C₁₃×C₁₉
Frattini	C₁	G
Fitting, socle	C₃×C₅²×C₁₃×C₁₉	C₂
LCS	G ▷ C₃×C₅
UCS	C₁ ◁ C₅×C₁₃×C₁₉

80 conjugacy classes of subgroups.

μ_t(G) = 7410

11115 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(37050, 157);