C₈₃×D₁₉₃ #44545158

order	32038
automorphism	?
homology	Abelianization (H₁) = C₂×C₈₃ · Schur multiplier (H₂) = C₁

Aliases

direct product	C₈₃×D₁₉₃
unambiguous semidirect product	C₁₉₃⋊(C₂×C₈₃)

Fitting, socle, Hall	C₈₃×C₁₉₃ ⋊ C₂
derived, Sylow	C₁₉₃ ⋊ C₂×C₈₃

	subgroup	G/H
center, hypercenter	C₈₃	D₁₉₃
commutator, cosocle, hypocenter	C₁₉₃	C₂×C₈₃
Frattini	C₁	G
Fitting, socle	C₈₃×C₁₉₃	C₂
LCS	G ▷ C₁₉₃
UCS	C₁ ◁ C₈₃

8 conjugacy classes of subgroups.

μ_t(G) = 16019

8134 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(32038, 2);