Finite Group DatabasebetaFinite Group Databasebeta| order | 11008 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C26×C4 |
No aliases for this group.
| Fitting | C43×#3449 ⋊ C2 |
| Sylow | C43 ⋊ #23445 |
2282 conjugacy classes of subgroups.
Polycyclic presentation:
2^8,43|d^2=h,b^a=be,c^a=cf,g^a=gh,c^b=cg,d^b=dh,i^b=i^42,e^c=eh970 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11008, 196824);