Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
808 conjugacy classes of subgroups; only the 111 normal subgroups are shown.
This group has 808 conjugacy classes of subgroups — too many to draw. Only its 111 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. #14564567 | C2 | semidirect |
| 3. #14562330 | C2 | semidirect |
| 4. #14562232 | C2 | semidirect |
| 5. #14562158 | C2 | semidirect |
| 6. #14562049 | C2 | semidirect |
| 7. C19×#1980 | C2 | semidirect |
| 8. #11927288 | C4 | semidirect |
| 9. #11927286 | C4 | semidirect |
| 22. #11926601 | C22 | semidirect |
| 23. C2×C4⋊(C19⋊C8) | C22 | semidirect |
| 35. C4×M16×C19 | C22 | semidirect |
| 36. C4×C4⋊C4×C19 | C22 | semidirect |
| 257. #1980 | D19 | semidirect |
| 312. C4×M16 | C2×D19 | semidirect |
| 313. C4×C4⋊C4 | C2×D19 | semidirect |
| 403. C19 | #8510 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14578158 | 2 |
| #14564567 | 2 |
| #14562330 | 2 |
| #14562232 | 2 |
| #14562158 | 2 |
| #14562049 | 2 |
| C19×#1980 | 2 |
| #8510 | 19 |