Finite Group DatabasebetaFinite Group Databasebeta| order | 20864 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C27 |
No aliases for this group.
| Fitting | C22×C22⋊C4×C163 ⋊ C2 |
| Sylow | C163 ⋊ #1438 |
1168 conjugacy classes of subgroups.
| transitive degree | μt(G) = 10432 |
Polycyclic presentation:
2^7,163|a^2=g,b^a=bd,c^a=ce,c^b=cf,h^c=h^1623284 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(20864, 2749);