C₂₄₁⋊C₈₁ #34086005

order	19521
automorphism	?
homology	Abelianization (H₁) = C₈₁ · Schur multiplier (H₂) = C₁

Aliases

C₂₄₁⋊C₈₁

C₂₄₁ ⋊ C₈₁

	subgroup	G/H
center, Frattini, hypercenter	C₂₇	C₂₄₁⋊C₃
commutator, hypocenter	C₂₄₁	C₈₁
Fitting, cosocle	C₂₇×C₂₄₁	C₃
socle, prime radical	C₃×C₂₄₁	C₂₇
LCS	G ▷ C₂₄₁
UCS	C₁ ◁ C₂₇

10 conjugacy classes of subgroups.

μ_t(G) = 19521

Polycyclic presentation:

3^4,241|a^3=b,b^3=c,c^3=d,e^a=e^15

2241 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(19521, 16);