C₅×C₁₉×D₁₉₅ #49150333

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

Aliases

direct product	C₅×C₁₉×D₁₉₅
unambiguous semidirect product	C₃⋊(C₅×C₁₉×D₆₅)
unambiguous semidirect product	C₅⋊(C₅×C₁₉×D₃₉)
unambiguous semidirect product	C₁₃⋊(C₅×C₁₉×D₁₅)

	subgroup	G/H
center, hypercenter	C₅×C₁₉	D₁₉₅
commutator, cosocle, hypocenter	C₃×C₅×C₁₃	C₂×C₅×C₁₉
Frattini	C₁	G
Fitting, socle	C₃×C₅²×C₁₃×C₁₉	C₂
LCS	G ▷ C₃×C₅×C₁₃
UCS	C₁ ◁ C₅×C₁₉

80 conjugacy classes of subgroups.

μ_t(G) = 7410

9405 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(37050, 159);