Finite Group DatabasebetaFinite Group Databasebeta| order | 11008 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C26 |
No aliases for this group.
| Fitting | C43×#1596 ⋊ C2 |
| Sylow | C43 ⋊ #18162 |
1704 conjugacy classes of subgroups.
Polycyclic presentation:
2^8,43|e^2=g,b^a=be,c^a=cf,e^a=eg,d^b=dg,e^b=eg,f^b=fh,i^b=i^42,e^c=eh,i^d=i^42523 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11008, 142197);