Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
570 conjugacy classes of subgroups; only the 99 normal subgroups are shown.
This group has 570 conjugacy classes of subgroups — too many to draw. Only its 99 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. #14574765 | C2 | semidirect |
| 2. #14574557 | C2 | semidirect |
| 4. #14564607 | C2 | semidirect |
| 5. #14562194 | C2 | semidirect |
| 6. #14561479 | C2 | semidirect |
| 7. C19×#1517 | C2 | semidirect |
| 127. C2×C19⋊C8 | SD16 | semidirect |
| 173. #1517 | D19 | semidirect |
| 272. C19 | #10221 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14574765 | 2 |
| #14574557 | 2 |
| #14574080 | 2 |
| #14564607 | 2 |
| #14562194 | 2 |
| #14561479 | 2 |
| C19×#1517 | 2 |
| #10221 | 19 |