Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
540 conjugacy classes of subgroups; only the 99 normal subgroups are shown.
This group has 540 conjugacy classes of subgroups — too many to draw. Only its 99 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. #14572756 | C2 | semidirect |
| 3. #14564475 | C2 | semidirect |
| 4. #14562302 | C2 | semidirect |
| 5. #14562075 | C2 | semidirect |
| 6. C19⋊#1309 | C2 | semidirect |
| 7. C19×#1299 | C2 | semidirect |
| 160. D76 | #100 | semidirect |
| 180. #1299 | D19 | semidirect |
| 277. C19 | #9359 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14573116 | 2 |
| #14572756 | 2 |
| #14564475 | 2 |
| #14562302 | 2 |
| #14562075 | 2 |
| C19⋊#1309 | 2 |
| C19×#1299 | 2 |
| #9359 | 19 |