Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
640 conjugacy classes of subgroups; only the 113 normal subgroups are shown.
This group has 640 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 |
|---|---|---|
| 1. #14574781 | C2 | semidirect |
| 4. #14564612 | C2 | semidirect |
| 5. #14562306 | C2 | semidirect |
| 7. C19×#1276 | C2 | semidirect |
| 98. C42×C19 | SD16 | semidirect |
| 163. #1276 | D19 | semidirect |
| 251. C19 | #10294 | semidirect |
| 295. C42 | #64516 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14574781 | 2 |
| #14574578 | 2 |
| #14571992 | 2 |
| #14564612 | 2 |
| #14562306 | 2 |
| #14562302 | 2 |
| C19×#1276 | 2 |
| #10294 | 19 |