C₃×D₃×C₁₉×C₁₁₃ #50311876

order	38646
automorphism	?
homology	Abelianization (H₁) = C₂×C₃×C₁₉×C₁₁₃ · Schur multiplier (H₂) = C₁

Aliases

direct product	C₃×D₃×C₁₉×C₁₁₃
unambiguous semidirect product	C₃⋊(C₂×C₃×C₁₉×C₁₁₃)

	subgroup	G/H
center, hypercenter	C₃×C₁₉×C₁₁₃	D₃
commutator, cosocle, hypocenter	C₃	C₂×C₃×C₁₉×C₁₁₃
Frattini	C₁	G
Fitting, socle	C₃²×C₁₉×C₁₁₃	C₂
LCS	G ▷ C₃
UCS	C₁ ◁ C₃×C₁₉×C₁₁₃

36 conjugacy classes of subgroups.

μ_t(G) = 12882

19323 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(38646, 29);