Finite Group DatabasebetaFinite Group Databasebeta| order | 11008 |
| automorphism | ? |
| homology | Abelianization (H1) = C25 · Schur multiplier (H2) = C28 |
No aliases for this group.
| Fitting | C22×C22⋊C8×C43 ⋊ C2 |
| Sylow | C43 ⋊ #60734 |
2394 conjugacy classes of subgroups.
Polycyclic presentation:
2^8,43|e^2=h,g^2=h,b^a=bf,c^a=cg,d^a=df,g^a=gh,i^a=i^42,c^b=cf,g^c=gh,i^c=i^421744 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11008, 1040145);