Finite Group DatabasebetaFinite Group Databasebeta| order | 11008 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C42 · Schur multiplier (H2) = C24×C4 |
No aliases for this group.
| Fitting | C8×C4⋊C4×C43 ⋊ C2 |
| Sylow | C43 ⋊ #20484 |
1194 conjugacy classes of subgroups.
Polycyclic presentation:
2^8,43|a^2=f,b^2=g,c^2=g,d^2=f,f^2=h,b^a=be,c^a=ch,i^a=i^42,i^c=i^421792 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11008, 167893);