Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
536 conjugacy classes of subgroups; only the 111 normal subgroups are shown.
This group has 536 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. #14563673 | C2 | semidirect |
| 3. #14562150 | C2 | semidirect |
| 4. #14561994 | C2 | semidirect |
| 5. C19×#1752 | C2 | semidirect |
| 6. C22×D152 | C4 | semidirect |
| 13. C2×#10597275 | C4 | semidirect |
| 14. C2×#10597278 | C4 | semidirect |
| 144. #1752 | D19 | semidirect |
| 228. C19 | #9818 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11926780 | 2 |
| #14563673 | 2 |
| #14562150 | 2 |
| #14561994 | 2 |
| C19×#1752 | 2 |
| #9818 | 19 |