Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
712 conjugacy classes of subgroups; only the 97 normal subgroups are shown.
This group has 712 conjugacy classes of subgroups — too many to draw. Only its 97 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. #14572081 | C2 | semidirect |
| 3. #14563578 | C2 | semidirect |
| 4. #14562151 | C2 | semidirect |
| 5. #14561511 | C2 | semidirect |
| 6. #14561481 | C2 | semidirect |
| 7. C19×#1471 | C2 | semidirect |
| 9. C22×#64526 | C4 | semidirect |
| 10. C22×#64525 | C4 | semidirect |
| 18. C2×#10597267 | C4 | semidirect |
| 19. C2×#10597266 | C4 | semidirect |
| 241. #1471 | D19 | semidirect |
| 370. C19 | #9241 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11926687 | 2 |
| #14572081 | 2 |
| #14563578 | 2 |
| #14562151 | 2 |
| #14561511 | 2 |
| #14561481 | 2 |
| C19×#1471 | 2 |
| #9241 | 19 |