Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
650 conjugacy classes of subgroups; only the 97 normal subgroups are shown.
This group has 650 conjugacy classes of subgroups — too many to draw. Only its 97 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. #14565997 | C2 | semidirect |
| 3. #14564554 | C2 | semidirect |
| 4. #14562142 | C2 | semidirect |
| 5. #14562079 | C2 | semidirect |
| 6. #14561492 | C2 | semidirect |
| 7. C19×#1300 | C2 | semidirect |
| 12. #11926835 | C4 | semidirect |
| 13. #11926740 | C4 | semidirect |
| 46. #10597320 | C2×C4 | semidirect |
| 54. #10597315 | C2×C4 | semidirect |
| 55. C19×C4⋊C8 | C2×C4 | semidirect |
| 157. D76 | #104 | semidirect |
| 171. #1300 | D19 | semidirect |
| 253. C4⋊C8 | C4×D19 | semidirect |
| 268. C19 | #9325 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14573727 | 2 |
| #14565997 | 2 |
| #14564554 | 2 |
| #14562142 | 2 |
| #14562079 | 2 |
| #14561492 | 2 |
| C19×#1300 | 2 |
| #9325 | 19 |