Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
422 conjugacy classes of subgroups; only the 107 normal subgroups are shown.
This group has 422 conjugacy classes of subgroups — too many to draw. Only its 107 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. #14562229 | C2 | semidirect |
| 4. #14562057 | C2 | semidirect |
| 6. C8×#64520 | C2 | semidirect |
| 7. C4×C19×#108 | C2 | semidirect |
| 155. C4×#108 | D19 | semidirect |
| 250. C19 | #9723 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14574194 | 2 |
| #14562229 | 2 |
| #14562226 | 2 |
| #14562057 | 2 |
| #14562053 | 2 |
| C8×#64520 | 2 |
| C4×C19×#108 | 2 |
| #9723 | 19 |