Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
406 conjugacy classes of subgroups; only the 95 normal subgroups are shown.
This group has 406 conjugacy classes of subgroups — too many to draw. Only its 95 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. #14562390 | C2 | semidirect |
| 4. #14562090 | C2 | semidirect |
| 6. #14561510 | C2 | semidirect |
| 7. C19×#1550 | C2 | semidirect |
| 157. #1550 | D19 | semidirect |
| 248. C19 | #10460 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14573428 | 2 |
| #14563624 | 2 |
| #14562390 | 2 |
| #14562090 | 2 |
| C2×#11926271 | 2 |
| #14561510 | 2 |
| C19×#1550 | 2 |
| #10460 | 19 |