#35216408

order	20864
automorphism	?
homology	Abelianization (H₁) = C₂²×C₄ · Schur multiplier (H₂) = C₂²

Aliases

No aliases for this group.

C₁₆₃ ⋊ #2176

148 conjugacy classes of subgroups.

μ_t(G) = 20864

Polycyclic presentation:

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

3272 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(20864, 6382);