D₅×C₁₉×C₁₉₁ #49136806

order	36290
isoclinism	isoclinic class of D₅
automorphism	?
homology	Abelianization (H₁) = C₂×C₁₉×C₁₉₁ · Schur multiplier (H₂) = C₁

Aliases

direct product	D₅×C₁₉×C₁₉₁
unambiguous semidirect product	C₅⋊(C₂×C₁₉×C₁₉₁)

	subgroup	G/H
center, hypercenter	C₁₉×C₁₉₁	D₅
commutator, cosocle, hypocenter	C₅	C₂×C₁₉×C₁₉₁
Frattini	C₁	G
Fitting, socle	C₅×C₁₉×C₁₉₁	C₂
LCS	G ▷ C₅
UCS	C₁ ◁ C₁₉×C₁₉₁

16 conjugacy classes of subgroups.

14516 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(36290, 8);