Finite Group DatabasebetaFinite Group Databasebeta| order | 2816 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25 |
No aliases for this group.
| Fitting | C2×C11×Q8⋊C8 ⋊ C2 |
| Sylow | C11 ⋊ #17509 |
994 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1408 |
Polycyclic presentation:
2^8,11|a^2=f,b^2=g,e^2=g,f^2=h,b^a=be,e^a=eg,e^b=eg,d^c=dh,i^d=i^10350 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(2816, 136442);