C₅×C₁₉×C₃₇⋊C₃ #24902114

order	10545
isoclinism	isoclinic class of C₃₇⋊C₃
automorphism	?
homology	Abelianization (H₁) = C₃×C₅×C₁₉ · Schur multiplier (H₂) = C₁

Aliases

direct product	C₅×C₁₉×C₃₇⋊C₃
unambiguous semidirect product	C₃₇⋊(C₃×C₅×C₁₉)
unambiguous semidirect product	(C₅×C₃₇)⋊(C₃×C₁₉)

	subgroup	G/H
center, hypercenter	C₅×C₁₉	C₃₇⋊C₃
commutator, cosocle, hypocenter	C₃₇	C₃×C₅×C₁₉
Frattini	C₁	G
Fitting, socle	C₅×C₁₉×C₃₇	C₃
LCS	G ▷ C₃₇
UCS	C₁ ◁ C₅×C₁₉

16 conjugacy classes of subgroups.

1425 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(10545, 2);