Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
626 conjugacy classes of subgroups; only the 199 normal subgroups are shown.
This group has 626 conjugacy classes of subgroups — too many to draw. Only its 199 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. #14564597 | C2 | semidirect |
| 3. #14563795 | C2 | semidirect |
| 4. C2×#11926265 | C2 | semidirect |
| 16. C19×#492 | C4 | semidirect |
| 102. C8×C19 | #102 | semidirect |
| 129. #492 | Dic19 | semidirect |
| 168. C19 | #9842 | semidirect |
| 228. C8 | #10597289 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14564597 | 2 |
| #14564442 | 2 |
| #14563795 | 2 |
| C2×#11926265 | 2 |
| C2×C19×#492 | 2 |
| #9842 | 19 |