Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
846 conjugacy classes of subgroups; only the 115 normal subgroups are shown.
This group has 846 conjugacy classes of subgroups — too many to draw. Only its 115 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. #14563732 | C2 | semidirect |
| 3. C4×#10597291 | C2 | semidirect |
| 4. #14562152 | C2 | semidirect |
| 5. C19×#1465 | C2 | semidirect |
| 8. C2×#10597315 | C4 | semidirect |
| 11. C2×#10597376 | C4 | semidirect |
| 14. C2×C4×D76 | C4 | semidirect |
| 15. C2×#10597372 | C4 | semidirect |
| 187. #1465 | D19 | semidirect |
| 295. C19 | #8360 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11927259 | 2 |
| #14563732 | 2 |
| C4×#10597291 | 2 |
| #14562152 | 2 |
| C19×#1465 | 2 |
| #8360 | 19 |