Finite Group DatabasebetaFinite Group Databasebeta| order | 20624 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C4 · Schur multiplier (H2) = C22 |
No aliases for this group.
| Fitting | C2×C4×C1289 ⋊ C2 |
| Sylow | C1289 ⋊ C22⋊C4 |
34 conjugacy classes of subgroups.
| transitive degree | μt(G) = 10312 |
Polycyclic presentation:
2^4,1289|a^2=d,b^a=bc,e^b=e^12885162 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(20624, 17);