C₃×D₅×C₃₁×C₄₁ #49185755

order	38130
automorphism	?
homology	Abelianization (H₁) = C₂×C₃×C₃₁×C₄₁ · Schur multiplier (H₂) = C₁

Aliases

direct product	C₃×D₅×C₃₁×C₄₁
unambiguous semidirect product	C₅⋊(C₂×C₃×C₃₁×C₄₁)

	subgroup	G/H
center, hypercenter	C₃×C₃₁×C₄₁	D₅
commutator, cosocle, hypocenter	C₅	C₂×C₃×C₃₁×C₄₁
Frattini	C₁	G
Fitting, socle	C₃×C₅×C₃₁×C₄₁	C₂
LCS	G ▷ C₅
UCS	C₁ ◁ C₃×C₃₁×C₄₁

32 conjugacy classes of subgroups.

μ_t(G) = 19065

15252 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(38130, 18);