Finite Group DatabasebetaFinite Group Databasebeta| order | 11008 |
| automorphism | ? |
| homology | Abelianization (H1) = C25 · Schur multiplier (H2) = C28 |
No aliases for this group.
| Fitting | C43×#3108 ⋊ C2 |
| Sylow | C43 ⋊ #60536 |
2192 conjugacy classes of subgroups.
Polycyclic presentation:
2^8,43|d^2=f,e^2=h,g^2=h,b^a=bf,c^a=cg,g^a=gh,g^c=gh,i^c=i^42,i^d=i^42,i^e=i^42874 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11008, 1037663);