Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
444 conjugacy classes of subgroups; only the 99 normal subgroups are shown.
This group has 444 conjugacy classes of subgroups — too many to draw. Only its 99 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. C4×#10597279 | C2 | semidirect |
| 3. #14562226 | C2 | semidirect |
| 4. #14562053 | C2 | semidirect |
| 5. #14562052 | C2 | semidirect |
| 6. M16×C19⋊C8 | C2 | semidirect |
| 7. C19×#1525 | C2 | semidirect |
| 162. #1525 | D19 | semidirect |
| 258. C19 | #9724 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14574210 | 2 |
| C4×#10597279 | 2 |
| #14562226 | 2 |
| #14562053 | 2 |
| #14562052 | 2 |
| M16×C19⋊C8 | 2 |
| C19×#1525 | 2 |
| #9724 | 19 |