Finite Group DatabasebetaFinite Group Databasebeta| order | 11008 |
| automorphism | ? |
| homology | Abelianization (H1) = C25 · Schur multiplier (H2) = C28×C4 |
No aliases for this group.
| Fitting | C43×#3449 ⋊ C2 |
| Sylow | C43 ⋊ #60643 |
3194 conjugacy classes of subgroups.
Polycyclic presentation:
2^8,43|b^2=f,c^2=g,e^2=h,f^2=h,b^a=bf,c^a=cg,f^a=fh,i^b=i^42,d^c=dh988 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11008, 1039074);