C₁₉×D₆₁₉ #37555151

order	23522
automorphism	?
homology	Abelianization (H₁) = C₂×C₁₉ · Schur multiplier (H₂) = C₁

Aliases

direct product	C₁₉×D₆₁₉
unambiguous semidirect product	C₆₁₉⋊(C₂×C₁₉)

Fitting, socle, Hall	C₁₉×C₆₁₉ ⋊ C₂
derived, Sylow	C₆₁₉ ⋊ C₂×C₁₉

	subgroup	G/H
center, hypercenter	C₁₉	D₆₁₉
commutator, cosocle, hypocenter	C₆₁₉	C₂×C₁₉
Frattini	C₁	G
Fitting, socle	C₁₉×C₆₁₉	C₂
LCS	G ▷ C₆₁₉
UCS	C₁ ◁ C₁₉

8 conjugacy classes of subgroups.

μ_t(G) = 11761

5909 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(23522, 2);