Finite Group DatabasebetaFinite Group Databasebeta| order | 11008 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C8 · Schur multiplier (H2) = C26 |
No aliases for this group.
| Fitting | C4×C22⋊C8×C43 ⋊ C2 |
| Sylow | C43 ⋊ #22469 |
1500 conjugacy classes of subgroups.
Polycyclic presentation:
2^8,43|a^2=g,c^2=e,g^2=h,b^a=be,c^a=cf,i^a=i^42,d^b=de,i^b=i^42,i^d=i^421780 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11008, 185624);