Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
544 conjugacy classes of subgroups; only the 81 normal subgroups are shown.
This group has 544 conjugacy classes of subgroups — too many to draw. Only its 81 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. #14573584 | C2 | semidirect |
| 4. #14563710 | C2 | semidirect |
| 5. #14562169 | C2 | semidirect |
| 7. C19×#1306 | C2 | semidirect |
| 186. #1306 | D19 | semidirect |
| 294. C19 | #9984 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14573584 | 2 |
| #14573576 | 2 |
| #14571665 | 2 |
| #14563710 | 2 |
| #14562169 | 2 |
| #14562165 | 2 |
| C19×#1306 | 2 |
| #9984 | 19 |