Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
734 conjugacy classes of subgroups; only the 99 normal subgroups are shown.
This group has 734 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. #14573636 | C2 | semidirect |
| 2. #14573635 | C2 | semidirect |
| 3. #14566914 | C2 | semidirect |
| 4. #14564466 | C2 | semidirect |
| 5. #14562059 | C2 | semidirect |
| 6. #14561463 | C2 | semidirect |
| 7. C19×#1486 | C2 | semidirect |
| 60. #10597320 | D4 | semidirect |
| 67. #10597315 | D4 | semidirect |
| 72. C4×C8×C19 | D4 | semidirect |
| 84. C4×C19⋊C8 | D4 | semidirect |
| 142. C4×Dic19 | D8 | semidirect |
| 206. #1486 | D19 | semidirect |
| 317. C4×C8 | C22⋊D19 | semidirect |
| 320. C19 | #10012 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14573636 | 2 |
| #14573635 | 2 |
| #14566914 | 2 |
| #14564466 | 2 |
| #14562059 | 2 |
| #14561463 | 2 |
| C19×#1486 | 2 |
| #10012 | 19 |