Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
578 conjugacy classes of subgroups; only the 105 normal subgroups are shown.
This group has 578 conjugacy classes of subgroups — too many to draw. Only its 105 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. #14564608 | C2 | semidirect |
| 4. #14564607 | C2 | semidirect |
| 6. #14561517 | C2 | semidirect |
| 7. C19×#1295 | C2 | semidirect |
| 13. #11926938 | C4 | semidirect |
| 64. #10597315 | C2×C4 | semidirect |
| 68. C19×#97 | C2×C4 | semidirect |
| 193. #1295 | D19 | semidirect |
| 290. #97 | C4×D19 | semidirect |
| 297. C19 | #9003 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11926938 | 2 |
| #14566806 | 2 |
| #14564608 | 2 |
| #14564607 | 2 |
| C2×#11926283 | 2 |
| #14561517 | 2 |
| C19×#1295 | 2 |
| #9003 | 19 |