Finite Group DatabasebetaFinite Group Databasebeta| order | 11008 |
| automorphism | ? |
| homology | Abelianization (H1) = C24×C4 · Schur multiplier (H2) = C28 |
No aliases for this group.
| Fitting | C43×#2382 ⋊ C2 |
| Sylow | C43 ⋊ C4×#562 |
2248 conjugacy classes of subgroups.
Polycyclic presentation:
2^8,43|a^2=h,c^2=f,e^2=h,b^a=bf,c^a=cg,d^a=dfg,c^b=cfg,d^b=df,i^b=i^42,i^c=i^42,i^d=i^42,i^e=i^42874 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11008, 332267);