Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
540 conjugacy classes of subgroups; only the 81 normal subgroups are shown.
This group has 540 conjugacy classes of subgroups — too many to draw. Only its 81 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. #14574038 | C2 | semidirect |
| 3. #14562262 | C2 | semidirect |
| 4. #14562181 | C2 | semidirect |
| 5. #14562078 | C2 | semidirect |
| 6. #14561499 | C2 | semidirect |
| 7. C19×#2633 | C2 | semidirect |
| 176. #2633 | D19 | semidirect |
| 284. C19 | #10019 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14574038 | 2 |
| #14573726 | 2 |
| #14562262 | 2 |
| #14562181 | 2 |
| #14562078 | 2 |
| #14561499 | 2 |
| C19×#2633 | 2 |
| #10019 | 19 |