Finite Group DatabasebetaFinite Group Databasebeta| order | 20624 |
| automorphism | ? |
| homology | Abelianization (H1) = C22 · Schur multiplier (H2) = C1 |
No aliases for this group.
| Fitting | C8×C1289 ⋊ C2 |
| Sylow | C1289 ⋊ SD16 |
20 conjugacy classes of subgroups.
| transitive degree | μt(G) = 10312 |
Polycyclic presentation:
2^4,1289|a^2=d,c^2=d,b^a=bc,c^a=cd,e^a=e^1288,c^b=cd,e^b=e^12885159 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(20624, 29);