Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
556 conjugacy classes of subgroups; only the 103 normal subgroups are shown.
This group has 556 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 |
|---|---|---|
| 4. #14561461 | C2 | semidirect |
| 5. #14561459 | C2 | semidirect |
| 6. #14561457 | C2 | semidirect |
| 7. C19×#1272 | C2 | semidirect |
| 67. C2×Q8×C19 | M16 | semidirect |
| 103. C4⋊Dic19 | M16 | semidirect |
| 177. #1272 | D19 | semidirect |
| 270. C19 | #7634 | semidirect |
| 275. C2×Q8 | #64515 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14566173 | 2 |
| #14563396 | 2 |
| #14563327 | 2 |
| #14561461 | 2 |
| #14561459 | 2 |
| #14561457 | 2 |
| C19×#1272 | 2 |
| #7634 | 19 |