Finite Group DatabasebetaFinite Group DatabasebetaOrder 29504.
152 conjugacy classes of subgroups; only the 43 normal subgroups are shown.
This group has 152 conjugacy classes of subgroups — too many to draw. Only its 43 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. C2×#20301491 | C2 | semidirect |
| 3. C2×#20301488 | C2 | semidirect |
| 4. #28414041 | C2 | semidirect |
| 5. #28414038 | C2 | semidirect |
| 6. C22⋊#16814779 | C2 | semidirect |
| 7. C22⋊Q8×C461 | C2 | semidirect |
| 60. C461 | #452 | semidirect |
| 65. C22⋊Q8 | D461 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#20301501 | 2 |
| C2×#20301491 | 2 |
| C2×#20301488 | 2 |
| #28414041 | 2 |
| #28414038 | 2 |
| C22⋊#16814779 | 2 |
| C22⋊Q8×C461 | 2 |
| #452 | 461 |