Finite Group DatabasebetaFinite Group Databasebeta| order | 11008 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C23×C42 |
No aliases for this group.
| Fitting | C43×#1443 ⋊ C2 |
| Sylow | C43 ⋊ #14267 |
1782 conjugacy classes of subgroups.
Polycyclic presentation:
2^8,43|a^2=h,d^2=f,b^a=be,c^a=cf,c^b=cg,i^b=i^42,d^c=de,i^c=i^42,i^d=i^42988 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11008, 96027);