Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
694 conjugacy classes of subgroups; only the 111 normal subgroups are shown.
This group has 694 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 |
|---|---|---|
| 2. #14562353 | C2 | semidirect |
| 3. #14562351 | C2 | semidirect |
| 4. #14562262 | C2 | semidirect |
| 7. C19×#1534 | C2 | semidirect |
| 204. #1534 | D19 | semidirect |
| 326. C19 | #8525 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11927174 | 2 |
| #14562353 | 2 |
| #14562351 | 2 |
| #14562262 | 2 |
| #14561967 | 2 |
| C19×#1534 | 2 |
| #8525 | 19 |