#34278306

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

Aliases

No aliases for this group.

590 conjugacy classes of subgroups.

μ_t(G) = 10112

Polycyclic presentation:

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

1405 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(20224, 159605);