Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
604 conjugacy classes of subgroups; only the 91 normal subgroups are shown.
This group has 604 conjugacy classes of subgroups — too many to draw. Only its 91 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. #14564869 | C2 | semidirect |
| 2. #14564722 | C2 | semidirect |
| 4. #14561461 | C2 | semidirect |
| 5. #14561458 | C2 | semidirect |
| 6. #14561456 | C2 | semidirect |
| 7. C19×#2732 | C2 | semidirect |
| 72. C2×Q8×C19 | D8 | semidirect |
| 76. C2×D4×C19 | SD16 | semidirect |
| 198. #2732 | D19 | semidirect |
| 305. C19 | #7735 | semidirect |
| 311. C2×Q8 | #64525 | semidirect |
| 333. C2×D4 | #64527 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14564869 | 2 |
| #14564722 | 2 |
| #14564705 | 2 |
| #14561461 | 2 |
| #14561458 | 2 |
| #14561456 | 2 |
| C19×#2732 | 2 |
| #7735 | 19 |