Finite Group DatabasebetaFinite Group Databasebeta| order | 2816 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C24 |
No aliases for this group.
| Fitting | C4×C11×C4⋊C8 ⋊ C2 |
| Sylow | C11 ⋊ #22982 |
720 conjugacy classes of subgroups.
| transitive degree | μt(G) = 704 |
Polycyclic presentation:
2^8,11|a^2=g,b^2=g,d^2=e,f^2=h,g^2=h,b^a=be,c^a=cf,f^a=fh,i^a=i^10,d^b=de,f^c=fh,i^c=i^10470 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(2816, 191637);