Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
640 conjugacy classes of subgroups; only the 103 normal subgroups are shown.
This group has 640 conjugacy classes of subgroups — too many to draw. Only its 103 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. #14563396 | C2 | semidirect |
| 3. #14563327 | C2 | semidirect |
| 4. #14561459 | C2 | semidirect |
| 5. #14561457 | C2 | semidirect |
| 6. #14561456 | C2 | semidirect |
| 7. C19×#1270 | C2 | semidirect |
| 70. C2×D4×C19 | M16 | semidirect |
| 115. C4⋊Dic19 | M16 | semidirect |
| 195. #1270 | D19 | semidirect |
| 295. C19 | #7633 | semidirect |
| 304. C2×D4 | #64515 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14566151 | 2 |
| #14563396 | 2 |
| #14563327 | 2 |
| #14561459 | 2 |
| #14561457 | 2 |
| #14561456 | 2 |
| C19×#1270 | 2 |
| #7633 | 19 |