Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
654 conjugacy classes of subgroups; only the 85 normal subgroups are shown.
This group has 654 conjugacy classes of subgroups — too many to draw. Only its 85 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 |
|---|---|---|
| 1. #14574640 | C2 | semidirect |
| 2. #14573735 | C2 | semidirect |
| 4. #14564578 | C2 | semidirect |
| 5. #14562234 | C2 | semidirect |
| 6. #14562077 | C2 | semidirect |
| 7. C19×#1285 | C2 | semidirect |
| 66. #10597315 | D4 | semidirect |
| 67. #10597315 | D4 | semidirect |
| 71. C19×C4⋊C8 | D4 | semidirect |
| 75. C19×#97 | D4 | semidirect |
| 199. #1285 | D19 | semidirect |
| 299. C4⋊C8 | D76 | semidirect |
| 308. #97 | D76 | semidirect |
| 311. C19 | #10008 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14574640 | 2 |
| #14573735 | 2 |
| #14568569 | 2 |
| #14564578 | 2 |
| #14562234 | 2 |
| #14562077 | 2 |
| C19×#1285 | 2 |
| #10008 | 19 |