#14960497

order	2816
automorphism	?
homology	Abelianization (H₁) = C₂⁵ · Schur multiplier (H₂) = C₂⁷

Aliases

No aliases for this group.

	subgroup	G/H
center	C₂²×C₄	C₂³×D₁₁
commutator, socle, prime radical, cosocle	C₂³×C₁₁	C₂⁵
Frattini	C₂³	C₂⁴×D₁₁
Fitting	C₄×C₁₁×#125	C₂
hypercenter	C₄×#125	D₁₁
hypocenter	C₁₁	#36701
LCS	G ▷ C₂³×C₁₁ ▷ C₁₁
UCS	C₁ ◁ C₂²×C₄ ◁ C₄×#125

1304 conjugacy classes of subgroups.

μ_t(G) = 2816

Polycyclic presentation:

2^8,11|a^2=h,b^2=h,c^2=f,d^2=f,e^2=g,b^a=bf,c^a=cg,d^a=dh,c^b=ch,d^c=dfh,i^c=i^10

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(2816, 376292);