C₁₉×D₉₁₉ #46853705

order	34922
automorphism	?
homology	Abelianization (H₁) = C₂×C₁₉ · Schur multiplier (H₂) = C₁

Aliases

direct product	C₁₉×D₉₁₉
unambiguous semidirect product	C₉₁₉⋊(C₂×C₁₉)

Fitting, socle, Hall	C₁₉×C₉₁₉ ⋊ C₂
derived, Sylow	C₉₁₉ ⋊ C₂×C₁₉

	subgroup	G/H
center, hypercenter	C₁₉	D₉₁₉
commutator, cosocle, hypocenter	C₉₁₉	C₂×C₁₉
Frattini	C₁	G
Fitting, socle	C₁₉×C₉₁₉	C₂
LCS	G ▷ C₉₁₉
UCS	C₁ ◁ C₁₉

8 conjugacy classes of subgroups.

μ_t(G) = 17461

8759 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(34922, 2);