Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
536 conjugacy classes of subgroups; only the 87 normal subgroups are shown.
This group has 536 conjugacy classes of subgroups — too many to draw. Only its 87 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. #14570666 | C2 | semidirect |
| 5. #14561460 | C2 | semidirect |
| 6. #14561459 | C2 | semidirect |
| 7. C19×#1271 | C2 | semidirect |
| 110. C4⋊C4×C19 | SD16 | semidirect |
| 116. C4⋊Dic19 | SD16 | semidirect |
| 189. #1271 | D19 | semidirect |
| 281. C19 | #7741 | semidirect |
| 340. C4⋊C4 | #64516 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14570666 | 2 |
| #14564870 | 2 |
| #14564869 | 2 |
| #14564725 | 2 |
| #14561460 | 2 |
| #14561459 | 2 |
| C19×#1271 | 2 |
| #7741 | 19 |