Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
1138 conjugacy classes of subgroups; only the 117 normal subgroups are shown.
This group has 1138 conjugacy classes of subgroups — too many to draw. Only its 117 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. C4×#10597280 | C2 | semidirect |
| 3. #14562233 | C2 | semidirect |
| 4. #14562079 | C2 | semidirect |
| 5. #14562077 | C2 | semidirect |
| 6. #14561975 | C2 | semidirect |
| 7. C19×#1527 | C2 | semidirect |
| 22. #11926601 | C22 | semidirect |
| 24. C4×#64520 | C22 | semidirect |
| 32. C19×#432 | C22 | semidirect |
| 33. C4×M16×C19 | C22 | semidirect |
| 238. D76 | #100 | semidirect |
| 253. #1527 | D19 | semidirect |
| 309. #432 | C2×D19 | semidirect |
| 312. C4×M16 | C2×D19 | semidirect |
| 395. C19 | #8367 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11927187 | 2 |
| C4×#10597280 | 2 |
| #14562233 | 2 |
| #14562079 | 2 |
| #14562077 | 2 |
| #14561975 | 2 |
| C19×#1527 | 2 |
| #8367 | 19 |