C₃×C₁₃×C₁₉×C₅⋊D₅ #49150323

order	37050
automorphism	?
homology	Abelianization (H₁) = C₂×C₃×C₁₃×C₁₉ · Schur multiplier (H₂) = C₅

Aliases

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

	subgroup	G/H
center, hypercenter	C₃×C₁₃×C₁₉	C₅⋊D₅
commutator, cosocle, hypocenter	C₅²	C₂×C₃×C₁₃×C₁₉
Frattini	C₁	G
Fitting, socle	C₃×C₅²×C₁₃×C₁₉	C₂
LCS	G ▷ C₅²
UCS	C₁ ◁ C₃×C₁₃×C₁₉

128 conjugacy classes of subgroups.

μ_t(G) = 18525

10374 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(37050, 149);