Finite Group DatabasebetaFinite Group DatabasebetaOrder 29504.
104 conjugacy classes of subgroups; only the 40 normal subgroups are shown.
This group has 104 conjugacy classes of subgroups — too many to draw. Only its 40 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. #28414206 | C2 | semidirect |
| 2. #28414205 | C2 | semidirect |
| 3. #28414189 | C2 | semidirect |
| 4. #28414183 | C2 | semidirect |
| 5. #28414182 | C2 | semidirect |
| 6. #28414172 | C2 | semidirect |
| 18. #20301491 | C4 | semidirect |
| 19. #20301490 | C4 | semidirect |
| 20. #20301486 | C4 | semidirect |
| 22. SD16×C461 | C4 | semidirect |
| 51. C461 | #444 | semidirect |
| 64. SD16 | #14270406 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #28414206 | 2 |
| #28414205 | 2 |
| #28414189 | 2 |
| #28414183 | 2 |
| #28414182 | 2 |
| #28414172 | 2 |
| #28414139 | 2 |
| #444 | 461 |