Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
600 conjugacy classes of subgroups; only the 97 normal subgroups are shown.
This group has 600 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 |
|---|---|---|
| 1. C2×#11926906 | C2 | semidirect |
| 3. #14564456 | C2 | semidirect |
| 4. C2×#11926284 | C2 | semidirect |
| 5. C2×#11926283 | C2 | semidirect |
| 6. #14561517 | C2 | semidirect |
| 7. C2×C19×#489 | C2 | semidirect |
| 41. C19×C4⋊Q8 | D4 | semidirect |
| 65. C19×#97 | D4 | semidirect |
| 75. #10597260 | D4 | semidirect |
| 177. C2×#489 | D19 | semidirect |
| 250. C4⋊Q8 | C22⋊D19 | semidirect |
| 279. #97 | C22⋊D19 | semidirect |
| 283. C19 | #10085 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11926906 | 2 |
| #14571680 | 2 |
| #14564456 | 2 |
| C2×#11926284 | 2 |
| C2×#11926283 | 2 |
| #14561517 | 2 |
| C2×C19×#489 | 2 |
| #10085 | 19 |