C₉₁₁⋊C₃₂ #44415442

order	29152
automorphism	?
homology	Abelianization (H₁) = C₃₂ · Schur multiplier (H₂) = C₁

Aliases

C₉₁₁⋊C₃₂

C₉₁₁ ⋊ C₃₂

	subgroup	G/H
center, Frattini, hypercenter	C₁₆	D₉₁₁
commutator, hypocenter	C₉₁₁	C₃₂
Fitting, cosocle	C₁₆×C₉₁₁	C₂
socle, prime radical	C₂×C₉₁₁	C₁₆
LCS	G ▷ C₉₁₁
UCS	C₁ ◁ C₁₆

12 conjugacy classes of subgroups.

μ_t(G) = 29152

Polycyclic presentation:

2^5,911|a^2=b,b^2=c,c^2=d,d^2=e,f^a=f^910

7312 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(29152, 52);