Finite Group DatabasebetaFinite Group DatabasebetaOrder 35968.
242 conjugacy classes of subgroups; only the 61 normal subgroups are shown.
This group has 242 conjugacy classes of subgroups — too many to draw. Only its 61 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. #31823839 | C2 | semidirect |
| 2. #31823839 | C2 | semidirect |
| 3. #31823835 | C2 | semidirect |
| 4. #31823810 | C2 | semidirect |
| 5. #31823809 | C2 | semidirect |
| 6. #31823185 | C2 | semidirect |
| 7. #493×C281 | C2 | semidirect |
| 48. #14555886 | D8 | semidirect |
| 81. C281 | #1721 | semidirect |
| 85. #493 | D281 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #31823839 | 2 |
| #31823835 | 2 |
| #31823810 | 2 |
| #31823809 | 2 |
| #31823185 | 2 |
| #493×C281 | 2 |
| #1721 | 281 |