Finite Group DatabasebetaFinite Group Databasebeta| order | 2816 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25 |
No aliases for this group.
| Fitting | C11×#1870 ⋊ C2 |
| Sylow | C11 ⋊ #23359 |
882 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1408 |
Polycyclic presentation:
2^8,11|a^2=g,c^2=ef,d^2=e,g^2=h,b^a=be,c^a=cf,d^a=defh,c^b=cefh,d^b=de,i^b=i^10,d^c=dh,i^d=i^10272 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(2816, 196132);