Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
1040 conjugacy classes of subgroups; only the 111 normal subgroups are shown.
This group has 1040 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. #14563561 | C2 | semidirect |
| 3. #14563552 | C2 | semidirect |
| 4. #14562169 | C2 | semidirect |
| 5. #14562167 | C2 | semidirect |
| 6. #14562164 | C2 | semidirect |
| 7. C19×#1510 | C2 | semidirect |
| 9. C22×#64543 | C4 | semidirect |
| 14. C2×#10597343 | C4 | semidirect |
| 20. C2×#10597384 | C4 | semidirect |
| 21. C2×C4⋊C4×D19 | C4 | semidirect |
| 284. #1510 | D19 | semidirect |
| 432. C19 | #8517 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11927123 | 2 |
| #14563561 | 2 |
| #14563552 | 2 |
| #14562169 | 2 |
| #14562167 | 2 |
| #14562164 | 2 |
| C19×#1510 | 2 |
| #8517 | 19 |