Finite Group DatabasebetaFinite Group Databasebeta| order | 11008 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C26 |
No aliases for this group.
| Sylow | C43 ⋊ #11024 |
1390 conjugacy classes of subgroups.
Polycyclic presentation:
2^8,43|a^2=g,b^2=h,c^2=h,d^2=h,f^2=h,b^a=bd,c^a=ce,d^a=dh,f^a=fh,i^a=i^42,c^b=cf,d^b=dh,f^b=fh,i^b=i^42,d^c=dh,f^c=fh,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, 76380);