#34307476

order	20224
automorphism	?
homology	Abelianization (H₁) = C₂³×C₄ · Schur multiplier (H₂) = C₂³×C₄

Aliases

No aliases for this group.

798 conjugacy classes of subgroups.

μ_t(G) = 20224

Polycyclic presentation:

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

1774 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(20224, 188775);