C₃×C₁₉×C₅⋊D₆₅ #49150325

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

Aliases

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

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

128 conjugacy classes of subgroups.

μ_t(G) = 18525

9348 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(37050, 151);