Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
626 conjugacy classes of subgroups; only the 113 normal subgroups are shown.
This group has 626 conjugacy classes of subgroups — too many to draw. Only its 113 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 |
|---|---|---|
| 3. #14572033 | C2 | semidirect |
| 5. #14562319 | C2 | semidirect |
| 6. #14562315 | C2 | semidirect |
| 7. C19×#1276 | C2 | semidirect |
| 96. C42×C19 | SD16 | semidirect |
| 158. #1276 | D19 | semidirect |
| 245. C19 | #10283 | semidirect |
| 287. C42 | #64516 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14574765 | 2 |
| #14574562 | 2 |
| #14572033 | 2 |
| #14564463 | 2 |
| #14562319 | 2 |
| #14562315 | 2 |
| C19×#1276 | 2 |
| #10283 | 19 |