Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
558 conjugacy classes of subgroups; only the 109 normal subgroups are shown.
This group has 558 conjugacy classes of subgroups — too many to draw. Only its 109 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 |
|---|---|---|
| 2. #14572354 | C2 | semidirect |
| 3. #14564459 | C2 | semidirect |
| 4. #14562302 | C2 | semidirect |
| 5. #14562196 | C2 | semidirect |
| 6. #14561494 | C2 | semidirect |
| 7. C19×#1275 | C2 | semidirect |
| 11. #11926921 | C4 | semidirect |
| 12. #11926891 | C4 | semidirect |
| 102. C2×C8×C19 | D8 | semidirect |
| 172. #1275 | D19 | semidirect |
| 263. C19 | #9293 | semidirect |
| 304. C2×C8 | D152 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14574555 | 2 |
| #14572354 | 2 |
| #14564459 | 2 |
| #14562302 | 2 |
| #14562196 | 2 |
| #14561494 | 2 |
| C19×#1275 | 2 |
| #9293 | 19 |