Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
564 conjugacy classes of subgroups; only the 95 normal subgroups are shown.
This group has 564 conjugacy classes of subgroups — too many to draw. Only its 95 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 1. #14574576 | C2 | semidirect |
| 3. #14573981 | C2 | semidirect |
| 4. #14562198 | C2 | semidirect |
| 5. #14562194 | C2 | semidirect |
| 6. #14561480 | C2 | semidirect |
| 7. C19×#1961 | C2 | semidirect |
| 170. #1961 | D19 | semidirect |
| 272. C19 | #10219 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14574576 | 2 |
| #14574553 | 2 |
| #14573981 | 2 |
| #14562198 | 2 |
| #14562194 | 2 |
| #14561480 | 2 |
| C19×#1961 | 2 |
| #10219 | 19 |