Finite Group DatabasebetaFinite Group Databasebeta| order | 11008 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C27 |
No aliases for this group.
| Sylow | C43 ⋊ #14685 |
2430 conjugacy classes of subgroups.
Polycyclic presentation:
2^8,43|a^2=h,b^2=ef,d^2=e,b^a=be,c^a=cf,d^a=dg,i^b=i^421264 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11008, 100749);