#35325954

order	21248
automorphism	?
homology	Abelianization (H₁) = C₂²×C₄² · Schur multiplier (H₂) = C₂³×C₄²

Aliases

No aliases for this group.

1690 conjugacy classes of subgroups.

μ_t(G) = 21248

Polycyclic presentation:

2^8,83|a^2=g,b^2=h,c^2=eg,d^2=fg,b^a=be,c^a=cf,i^a=i^82,d^b=de,i^c=i^82,i^d=i^82

2396 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(21248, 91118);