Finite Group DatabasebetaFinite Group Databasebeta| order | 2816 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C24×C4 |
No aliases for this group.
| Fitting | C11×#1996 ⋊ C2 |
| Sylow | C11 ⋊ #22513 |
1114 conjugacy classes of subgroups.
| transitive degree | μt(G) = 704 |
Polycyclic presentation:
2^8,11|a^2=g,b^2=eh,d^2=e,b^a=be,c^a=cf,f^a=fh,d^b=de,g^c=gh,i^c=i^10,i^d=i^10215 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(2816, 186120);