Finite Group DatabasebetaFinite Group DatabasebetaOrder 35968.
382 conjugacy classes of subgroups; only the 67 normal subgroups are shown.
This group has 382 conjugacy classes of subgroups — too many to draw. Only its 67 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×#22582794 | C2 | semidirect |
| 3. C2×#22582793 | C2 | semidirect |
| 4. #31823342 | C2 | semidirect |
| 5. #31823336 | C2 | semidirect |
| 6. #31823229 | C2 | semidirect |
| 7. #386×C281 | C2 | semidirect |
| 53. C22⋊Dic281 | D4 | semidirect |
| 175. C281 | #2044 | semidirect |
| 181. #386 | D281 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #31824022 | 2 |
| C2×#22582794 | 2 |
| C2×#22582793 | 2 |
| #31823342 | 2 |
| #31823336 | 2 |
| #31823229 | 2 |
| #386×C281 | 2 |
| #2044 | 281 |