Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
802 conjugacy classes of subgroups; only the 115 normal subgroups are shown.
This group has 802 conjugacy classes of subgroups — too many to draw. Only its 115 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. #14566465 | C2 | semidirect |
| 2. #14564472 | C2 | semidirect |
| 3. #14563579 | C2 | semidirect |
| 4. #14562151 | C2 | semidirect |
| 5. #14561540 | C2 | semidirect |
| 6. #14561520 | C2 | semidirect |
| 22. C2×C19×AGL(1,ℤ/8) | C4 | semidirect |
| 27. C19×#417 | C4 | semidirect |
| 37. C22×D4×C19 | C2×C4 | semidirect |
| 45. C2×M16×C19 | C2×C4 | semidirect |
| 50. C2×C4⋊C4×C19 | C2×C4 | semidirect |
| 166. D4×C19 | #99 | semidirect |
| 238. C2×AGL(1,ℤ/8) | Dic19 | semidirect |
| 245. #417 | Dic19 | semidirect |
| 275. C22×D4 | C2×Dic19 | semidirect |
| 284. C2×M16 | C2×Dic19 | semidirect |
| 291. C2×C4⋊C4 | C2×Dic19 | semidirect |
| 313. C19 | #9365 | semidirect |
| 404. D4 | #10597291 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14566465 | 2 |
| #14564472 | 2 |
| #14563579 | 2 |
| #14562151 | 2 |
| #14561540 | 2 |
| #14561520 | 2 |
| C19×#3006 | 2 |
| #9365 | 19 |