C₈₉×D₁₉₃ #46805247

order	34354
automorphism	?
homology	Abelianization (H₁) = C₂×C₈₉ · Schur multiplier (H₂) = C₁

Aliases

direct product	C₈₉×D₁₉₃
unambiguous semidirect product	C₁₉₃⋊(C₂×C₈₉)

Fitting, socle, Hall	C₈₉×C₁₉₃ ⋊ C₂
derived, Sylow	C₁₉₃ ⋊ C₂×C₈₉

	subgroup	G/H
center, hypercenter	C₈₉	D₁₉₃
commutator, cosocle, hypocenter	C₁₉₃	C₂×C₈₉
Frattini	C₁	G
Fitting, socle	C₈₉×C₁₉₃	C₂
LCS	G ▷ C₁₉₃
UCS	C₁ ◁ C₈₉

8 conjugacy classes of subgroups.

μ_t(G) = 17177

8722 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(34354, 2);