Finite Group DatabasebetaFinite Group Databasebeta| order | 11008 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C42 · Schur multiplier (H2) = C24×C42 |
No aliases for this group.
| Sylow | C43 ⋊ C4×#388 |
2134 conjugacy classes of subgroups.
Polycyclic presentation:
2^8,43|a^2=g,b^2=h,c^2=e,d^2=g,b^a=be,c^a=cf,i^a=i^42,i^c=i^42,i^d=i^421288 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11008, 90729);