Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
894 conjugacy classes of subgroups; only the 85 normal subgroups are shown.
This group has 894 conjugacy classes of subgroups — too many to draw. Only its 85 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. #14572895 | C2 | semidirect |
| 2. #14568793 | C2 | semidirect |
| 3. #14563579 | C2 | semidirect |
| 4. #14562167 | C2 | semidirect |
| 5. #14561962 | C2 | semidirect |
| 6. #14561487 | C2 | semidirect |
| 46. C22×Dic38 | D4 | semidirect |
| 64. C2×C4⋊Dic19 | D4 | semidirect |
| 70. C2×C4×Dic19 | D4 | semidirect |
| 85. C22⋊(C19⋊C8) | D4 | semidirect |
| 359. C19 | #9942 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14572895 | 2 |
| #14568793 | 2 |
| #14563579 | 2 |
| #14562167 | 2 |
| #14561962 | 2 |
| #14561487 | 2 |
| C19×#2404 | 2 |
| #9942 | 19 |