C₁₉×D₈₅₉ #45657662

order	32642
automorphism	?
homology	Abelianization (H₁) = C₂×C₁₉ · Schur multiplier (H₂) = C₁

Aliases

direct product	C₁₉×D₈₅₉
unambiguous semidirect product	C₈₅₉⋊(C₂×C₁₉)

Fitting, socle, Hall	C₁₉×C₈₅₉ ⋊ C₂
derived, Sylow	C₈₅₉ ⋊ C₂×C₁₉

	subgroup	G/H
center, hypercenter	C₁₉	D₈₅₉
commutator, cosocle, hypocenter	C₈₅₉	C₂×C₁₉
Frattini	C₁	G
Fitting, socle	C₁₉×C₈₅₉	C₂
LCS	G ▷ C₈₅₉
UCS	C₁ ◁ C₁₉

8 conjugacy classes of subgroups.

μ_t(G) = 16321

8189 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(32642, 2);