C₁₉×C₅₇₇⋊C₃ #45659754

order	32889
automorphism	?
homology	Abelianization (H₁) = C₃×C₁₉ · Schur multiplier (H₂) = C₁

Aliases

direct product	C₁₉×C₅₇₇⋊C₃
unambiguous semidirect product	C₅₇₇⋊(C₃×C₁₉)

Fitting, socle, Hall	C₁₉×C₅₇₇ ⋊ C₃
derived, Sylow	C₅₇₇ ⋊ C₃×C₁₉

	subgroup	G/H
center, hypercenter	C₁₉	C₅₇₇⋊C₃
commutator, cosocle, hypocenter	C₅₇₇	C₃×C₁₉
Frattini	C₁	G
Fitting, socle	C₁₉×C₅₇₇	C₃
LCS	G ▷ C₅₇₇
UCS	C₁ ◁ C₁₉

8 conjugacy classes of subgroups.

μ_t(G) = 10963

3705 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(32889, 2);