Finite Group DatabasebetaFinite Group Databasebeta| order | 2816 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C24×C4 |
No aliases for this group.
| Fitting | C2×C11×#384 ⋊ C2 |
| Sylow | C11 ⋊ #21867 |
1234 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1408 |
Polycyclic presentation:
2^8,11|a^2=g,d^2=eh,f^2=h,g^2=h,b^a=be,c^a=cf,d^a=deh,i^a=i^10,c^b=ce,f^c=fh,g^c=gh,i^c=i^10332 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(2816, 179308);