Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
358 conjugacy classes of subgroups; only the 93 normal subgroups are shown.
This group has 358 conjugacy classes of subgroups — too many to draw. Only its 93 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. C4×#10597279 | C2 | semidirect |
| 3. #14562396 | C2 | semidirect |
| 6. #14561506 | C2 | semidirect |
| 7. C19×#1291 | C2 | semidirect |
| 151. #1291 | D19 | semidirect |
| 239. C19 | #8693 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14572604 | 2 |
| C4×#10597279 | 2 |
| #14562396 | 2 |
| #14562243 | 2 |
| #14562240 | 2 |
| #14561506 | 2 |
| C19×#1291 | 2 |
| #8693 | 19 |