C₁₉×D₈₈₇ #46797812

order	33706
automorphism	?
homology	Abelianization (H₁) = C₂×C₁₉ · Schur multiplier (H₂) = C₁

Aliases

direct product	C₁₉×D₈₈₇
unambiguous semidirect product	C₈₈₇⋊(C₂×C₁₉)

Fitting, socle, Hall	C₁₉×C₈₈₇ ⋊ C₂
derived, Sylow	C₈₈₇ ⋊ C₂×C₁₉

	subgroup	G/H
center, hypercenter	C₁₉	D₈₈₇
commutator, cosocle, hypocenter	C₈₈₇	C₂×C₁₉
Frattini	C₁	G
Fitting, socle	C₁₉×C₈₈₇	C₂
LCS	G ▷ C₈₈₇
UCS	C₁ ◁ C₁₉

8 conjugacy classes of subgroups.

μ_t(G) = 16853

8455 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(33706, 2);