C₁₉₃⋊C₈₁ #30627637

order	15633
automorphism	?
homology	Abelianization (H₁) = C₈₁ · Schur multiplier (H₂) = C₁

Aliases

C₁₉₃⋊C₈₁

C₁₉₃ ⋊ C₈₁

	subgroup	G/H
center, Frattini, hypercenter	C₂₇	C₁₉₃⋊C₃
commutator, hypocenter	C₁₉₃	C₈₁
Fitting, cosocle	C₂₇×C₁₉₃	C₃
socle, prime radical	C₃×C₁₉₃	C₂₇
LCS	G ▷ C₁₉₃
UCS	C₁ ◁ C₂₇

10 conjugacy classes of subgroups.

μ_t(G) = 15633

Polycyclic presentation:

3^4,193|a^3=b,b^3=c,c^3=d,e^a=e^84

1809 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(15633, 16);