C₃×C₁₃×C₁₉×D₁₃ #34064264

order	19266
automorphism	?
homology	Abelianization (H₁) = C₂×C₃×C₁₃×C₁₉ · Schur multiplier (H₂) = C₁

Aliases

C₃×C₁₃×C₁₉×D₁₃

	subgroup	G/H
center, hypercenter	C₃×C₁₃×C₁₉	D₁₃
commutator, cosocle, hypocenter	C₁₃	C₂×C₃×C₁₃×C₁₉
Frattini	C₁	G
Fitting, socle	C₃×C₁₃²×C₁₉	C₂
LCS	G ▷ C₁₃
UCS	C₁ ◁ C₃×C₁₃×C₁₉

56 conjugacy classes of subgroups.

μ_t(G) = 1482

5928 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(19266, 99);