Finite Group DatabasebetaFinite Group Databasebeta| order | 2816 |
| automorphism | ? |
| homology | Abelianization (H1) = C25 · Schur multiplier (H2) = C27 |
No aliases for this group.
| Fitting | C4×C11×#126 ⋊ C2 |
| Sylow | C11 ⋊ #34866 |
1782 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1408 |
Polycyclic presentation:
2^8,11|b^2=g,c^2=h,d^2=g,e^2=f,b^a=bf,c^a=cg,i^a=i^10,c^b=ch,d^b=dh,i^b=i^10356 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(2816, 340361);