Finite Group DatabasebetaFinite Group Databasebeta| order | 11008 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C26 |
No aliases for this group.
| Fitting | C43×#3027 ⋊ C2 |
| Sylow | C43 ⋊ #33553 |
1252 conjugacy classes of subgroups.
Polycyclic presentation:
2^8,43|d^2=h,b^a=be,c^a=cf,g^a=gh,d^b=dh,f^b=fgh,e^c=eg,i^c=i^42,f^e=fh643 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11008, 323645);