#157⋊D₁₁ #11716283

order	792
isoclinism	isoclinic class of #157⋊D₁₁
automorphism	?
homology	Abelianization (H₁) = C₂² · Schur multiplier (H₂) = C₂

Aliases

	subgroup	G/H
center, Frattini, hypercenter	C₁	G
commutator, cosocle	C₁₁×C₃⋊D₃	C₂²
Fitting, socle, hypocenter	C₃²×C₁₁	D₄
LCS	G ▷ C₁₁×C₃⋊D₃ ▷ C₃²×C₁₁
UCS	C₁

52 conjugacy classes of subgroups.

μ_t(G) = 66

Polycyclic presentation:

2^3,3^2,11|b^2=c,b^a=bc,d^a=d^2,e^a=d^2e,f^a=f^10,d^b=d^2e^2,e^b=d^2e,d^c=d^2,e^c=e^2

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(792, 113);