#25018095

order	11008
automorphism	?
homology	Abelianization (H₁) = C₂²×C₄² · Schur multiplier (H₂) = C₂⁶×C₄

Aliases

No aliases for this group.

Fitting	C₂×C₄×C₂²⋊C₄×C₄₃ ⋊ C₂
Sylow	C₄₃ ⋊ #13813

2882 conjugacy classes of subgroups.

Polycyclic presentation:

2^8,43|a^2=g,b^2=h,c^2=g,d^2=g,b^a=be,c^a=cf,i^a=i^42,d^b=de,i^d=i^42

1780 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(11008, 91066);