Finite Group DatabasebetaFinite Group Databasebeta| order | 2816 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C28 |
No aliases for this group.
| Fitting | C11×#1889 ⋊ C2 |
| Sylow | C11 ⋊ #23900 |
3520 conjugacy classes of subgroups.
| transitive degree | μt(G) = 176 |
Polycyclic presentation:
2^8,11|b^a=be,c^a=cf,d^a=de,c^b=cg,f^b=fh,i^b=i^10,e^c=eh,i^c=i^10,f^d=fh206 conjugacy classes — view the full character table.
| maximal subgroup of | D11×#23900 |
| maximal normal subgroup of | D11×#23900 |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(2816, 201148);