Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
358 conjugacy classes of subgroups; only the 103 normal subgroups are shown.
This group has 358 conjugacy classes of subgroups — too many to draw. Only its 103 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. #14562398 | C2 | semidirect |
| 4. #14561507 | C2 | semidirect |
| 5. C4×C19×#108 | C2 | semidirect |
| 128. C4×#108 | D19 | semidirect |
| 209. C19 | #8693 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14572610 | 2 |
| #14562398 | 2 |
| #14562240 | 2 |
| #14561507 | 2 |
| C4×C19×#108 | 2 |
| #8693 | 19 |