Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
890 conjugacy classes of subgroups; only the 113 normal subgroups are shown.
This group has 890 conjugacy classes of subgroups — too many to draw. Only its 113 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. C2×#11926699 | C2 | semidirect |
| 4. #14563571 | C2 | semidirect |
| 6. #14561514 | C2 | semidirect |
| 7. C2×C19×#328 | C2 | semidirect |
| 88. C23×D19 | Q16 | semidirect |
| 222. C2×#328 | D19 | semidirect |
| 342. C19 | #9924 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11926699 | 2 |
| #14569442 | 2 |
| C2×#11926457 | 2 |
| #14563571 | 2 |
| C2×#11926267 | 2 |
| #14561514 | 2 |
| C2×C19×#328 | 2 |
| #9924 | 19 |