Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
364 conjugacy classes of subgroups; only the 75 normal subgroups are shown.
This group has 364 conjugacy classes of subgroups — too many to draw. Only its 75 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. #14563810 | C2 | semidirect |
| 3. #14562365 | C2 | semidirect |
| 6. #14561545 | C2 | semidirect |
| 7. C19×#1531 | C2 | semidirect |
| 137. #1531 | D19 | semidirect |
| 218. C19 | #10526 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14575018 | 2 |
| #14563810 | 2 |
| #14562365 | 2 |
| #14562358 | 2 |
| #14562245 | 2 |
| #14561545 | 2 |
| C19×#1531 | 2 |
| #10526 | 19 |