#35216765

order	20864
automorphism	?
homology	Abelianization (H₁) = C₂³ · Schur multiplier (H₂) = C₄

Aliases

No aliases for this group.

C₁₆₃ ⋊ #2241

140 conjugacy classes of subgroups.

μ_t(G) = 20864

Polycyclic presentation:

2^7,163|a^2=g,b^2=e,c^2=d,d^2=fg,e^2=f,f^2=g,b^a=bd,c^a=ce,d^a=df,e^a=efg,f^a=fg,h^a=h^162,h^b=h^162,h^c=h^162

1820 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(20864, 6739);