Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
552 conjugacy classes of subgroups; only the 111 normal subgroups are shown.
This group has 552 conjugacy classes of subgroups — too many to draw. Only its 111 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 |
|---|---|---|
| 3. #14563662 | C2 | semidirect |
| 4. #14563413 | C2 | semidirect |
| 5. #14562207 | C2 | semidirect |
| 7. C19×#1996 | C2 | semidirect |
| 8. C22×#64527 | C4 | semidirect |
| 16. C2×#10597265 | C4 | semidirect |
| 17. C2×#10597292 | C4 | semidirect |
| 18. C2×#10597266 | C4 | semidirect |
| 195. C19⋊C8 | #99 | semidirect |
| 197. #1996 | D19 | semidirect |
| 310. C19 | #9786 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11926775 | 2 |
| #14564471 | 2 |
| #14563662 | 2 |
| #14563413 | 2 |
| #14562207 | 2 |
| #14562202 | 2 |
| C19×#1996 | 2 |
| #9786 | 19 |