C₁₉×D₉₄₁ #49088656

order	35758
automorphism	?
homology	Abelianization (H₁) = C₂×C₁₉ · Schur multiplier (H₂) = C₁

Aliases

direct product	C₁₉×D₉₄₁
unambiguous semidirect product	C₉₄₁⋊(C₂×C₁₉)

Fitting, socle, Hall	C₁₉×C₉₄₁ ⋊ C₂
derived, Sylow	C₉₄₁ ⋊ C₂×C₁₉

	subgroup	G/H
center, hypercenter	C₁₉	D₉₄₁
commutator, cosocle, hypocenter	C₉₄₁	C₂×C₁₉
Frattini	C₁	G
Fitting, socle	C₁₉×C₉₄₁	C₂
LCS	G ▷ C₉₄₁
UCS	C₁ ◁ C₁₉

8 conjugacy classes of subgroups.

μ_t(G) = 17879

8968 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(35758, 2);