C₇×C₁₃×C₁₉×D₁₁ #49184754

order	38038
automorphism	?
homology	Abelianization (H₁) = C₂×C₇×C₁₃×C₁₉ · Schur multiplier (H₂) = C₁

Aliases

direct product	C₇×C₁₃×C₁₉×D₁₁
unambiguous semidirect product	C₁₁⋊(C₂×C₇×C₁₃×C₁₉)

	subgroup	G/H
center, hypercenter	C₇×C₁₃×C₁₉	D₁₁
commutator, cosocle, hypocenter	C₁₁	C₂×C₇×C₁₃×C₁₉
Frattini	C₁	G
Fitting, socle	C₇×C₁₁×C₁₃×C₁₉	C₂
LCS	G ▷ C₁₁
UCS	C₁ ◁ C₇×C₁₃×C₁₉

32 conjugacy classes of subgroups.

μ_t(G) = 19019

12103 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(38038, 5);