Finite Group DatabasebetaFinite Group Databasebeta| order | 11008 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C26 |
No aliases for this group.
| Fitting | C43×#1801 ⋊ C2 |
| Sylow | C43 ⋊ #20640 |
1390 conjugacy classes of subgroups.
Polycyclic presentation:
2^8,43|a^2=g,b^2=e,d^2=h,g^2=h,b^a=be,c^a=cf,f^a=fh,d^b=dh,g^c=gh,i^c=i^42,i^d=i^42730 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11008, 169007);