Finite Group DatabasebetaFinite Group Databasebeta| order | 2816 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C42 · Schur multiplier (H2) = C24 |
No aliases for this group.
| Fitting | C11×#1277 ⋊ C2 |
| Sylow | C11 ⋊ #7875 |
670 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1408 |
Polycyclic presentation:
2^8,11|a^2=e,b^2=f,c^2=g,d^2=g,e^2=h,f^2=g,b^a=bd,c^a=ch,d^a=dg,f^a=fg,i^c=i^10368 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(2816, 59035);