Finite Group DatabasebetaFinite Group Databasebeta| order | 20896 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C22 |
No aliases for this group.
| Sylow | C653 ⋊ C22⋊Q8 |
74 conjugacy classes of subgroups.
| transitive degree | μt(G) = 10448 |
Polycyclic presentation:
2^5,653|a^2=d,b^2=d,b^a=bd,c^a=ce,f^b=f^6523274 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(20896, 123);