C₃×C₁₇×C₁₉×D₁₉ #49145657

order	36822
automorphism	?
homology	Abelianization (H₁) = C₂×C₃×C₁₇×C₁₉ · Schur multiplier (H₂) = C₁

Aliases

C₃×C₁₇×C₁₉×D₁₉

	subgroup	G/H
center, hypercenter	C₃×C₁₇×C₁₉	D₁₉
commutator, cosocle, hypocenter	C₁₉	C₂×C₃×C₁₇×C₁₉
Frattini	C₁	G
Fitting, socle	C₃×C₁₇×C₁₉²	C₂
LCS	G ▷ C₁₉
UCS	C₁ ◁ C₃×C₁₇×C₁₉

68 conjugacy classes of subgroups.

μ_t(G) = 1938

10659 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(36822, 36);