Finite Group DatabasebetaFinite Group DatabasebetaOrder 29504.
214 conjugacy classes of subgroups; only the 99 normal subgroups are shown.
This group has 214 conjugacy classes of subgroups — too many to draw. Only its 99 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. #28414113 | C2 | semidirect |
| 2. #28414109 | C2 | semidirect |
| 3. #28414108 | C2 | semidirect |
| 5. #28414098 | C2 | semidirect |
| 6. #28414097 | C2 | semidirect |
| 7. #28414083 | C2 | semidirect |
| 9. #28414077 | C2 | semidirect |
| 10. #28414076 | C2 | semidirect |
| 11. C2×C4⋊C4×C461 | C2 | semidirect |
| 72. C461 | #552 | semidirect |
| 84. C2×C4⋊C4 | D461 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #28414113 | 2 |
| #28414109 | 2 |
| #28414108 | 2 |
| #28414101 | 2 |
| #28414098 | 2 |
| #28414097 | 2 |
| #28414083 | 2 |
| C4×C22⋊D461 | 2 |
| #28414077 | 2 |
| #28414076 | 2 |
| C2×C4⋊C4×C461 | 2 |
| #552 | 461 |