#34278554

order	20224
automorphism	?
homology	Abelianization (H₁) = C₂⁴ · Schur multiplier (H₂) = C₂⁴

Aliases

No aliases for this group.

554 conjugacy classes of subgroups.

μ_t(G) = 20224

Polycyclic presentation:

2^8,79|a^2=h,b^2=g,c^2=gh,d^2=g,e^2=g,f^2=h,b^a=be,c^a=cf,e^a=eg,f^a=fh,d^b=de,e^b=eg,f^c=fh,e^d=eg,i^d=i^78

1054 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(20224, 159853);