Finite Group DatabasebetaFinite Group Databasebeta| order | 11008 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C23×C43 |
No aliases for this group.
| Fitting | C42×C8×C43 ⋊ C2 |
| Sylow | C43 ⋊ #33301 |
2046 conjugacy classes of subgroups.
Polycyclic presentation:
2^8,43|b^2=eh,c^2=f,d^2=g,e^2=h,b^a=be,c^a=cf,d^a=dg,e^a=eh,i^a=i^422764 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11008, 322087);