Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
568 conjugacy classes of subgroups; only the 91 normal subgroups are shown.
This group has 568 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. #14572663 | C2 | semidirect |
| 3. #14562259 | C2 | semidirect |
| 4. #14561975 | C2 | semidirect |
| 5. #14561492 | C2 | semidirect |
| 6. #14561490 | C2 | semidirect |
| 7. C19×#1533 | C2 | semidirect |
| 68. C19×#97 | D4 | semidirect |
| 79. #10597260 | D4 | semidirect |
| 203. #1533 | D19 | semidirect |
| 316. #97 | C22⋊D19 | semidirect |
| 320. C19 | #9447 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14572663 | 2 |
| #14568607 | 2 |
| #14562259 | 2 |
| #14561975 | 2 |
| #14561492 | 2 |
| #14561490 | 2 |
| C19×#1533 | 2 |
| #9447 | 19 |