Finite Group DatabasebetaFinite Group Databasebeta| order | 11008 |
| automorphism | ? |
| homology | Abelianization (H1) = C25 · Schur multiplier (H2) = C28 |
No aliases for this group.
| Sylow | C43 ⋊ #36742 |
2038 conjugacy classes of subgroups.
Polycyclic presentation:
2^8,43|a^2=f,b^2=f,c^2=g,d^2=f,b^a=bf,c^a=cg,d^a=df,e^a=efh,i^a=i^42,c^b=ch,d^b=dfh,i^c=i^42976 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11008, 377029);