Finite Group DatabasebetaFinite Group Databasebeta| order | 22864 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C4 · Schur multiplier (H2) = C22 |
| unambiguous semidirect product | C22⋊Dic1429 |
| Sylow | C1429 ⋊ C22⋊C4 |
34 conjugacy classes of subgroups.
| transitive degree | μt(G) = 11432 |
Polycyclic presentation:
2^4,1429|a^2=d,b^a=bc,e^a=e^14285722 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(22864, 18);