Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
710 conjugacy classes of subgroups; only the 199 normal subgroups are shown.
This group has 710 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. #14564442 | C2 | semidirect |
| 2. #14563792 | C2 | semidirect |
| 3. C2×#11926265 | C2 | semidirect |
| 13. C19×#493 | C4 | semidirect |
| 77. C8×C19 | #102 | semidirect |
| 100. #493 | Dic19 | semidirect |
| 131. C19 | #9837 | semidirect |
| 175. C8 | #10597289 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14564442 | 2 |
| #14563792 | 2 |
| C2×#11926265 | 2 |
| C2×C19×#493 | 2 |
| #9837 | 19 |