D₉×C₁₉×C₅⋊D₅ #30685600

order	17100
automorphism	?
homology	Abelianization (H₁) = C₂²×C₁₉ · Schur multiplier (H₂) = C₂×C₅

Aliases

direct product	D₉×C₁₉×C₅⋊D₅
unambiguous semidirect product	(C₅×D₉)⋊(D₅×C₁₉)

	subgroup	G/H
center, hypercenter	C₁₉	D₉×C₅⋊D₅
commutator, cosocle, hypocenter	C₅²×C₉	C₂²×C₁₉
Frattini	C₃	D₃×C₁₉×C₅⋊D₅
Fitting	C₅²×C₉×C₁₉	C₂²
socle	C₃×C₅²×C₁₉	C₂×D₃
LCS	G ▷ C₅²×C₉
UCS	C₁ ◁ C₁₉

240 conjugacy classes of subgroups.

μ_t(G) = 4275

1596 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(17100, 237);