Finite Group DatabasebetaFinite Group DatabasebetaOrder 35968.
316 conjugacy classes of subgroups; only the 51 normal subgroups are shown.
This group has 316 conjugacy classes of subgroups — too many to draw. Only its 51 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. #31824088 | C2 | semidirect |
| 2. #31823616 | C2 | semidirect |
| 3. #31823613 | C2 | semidirect |
| 5. #31823199 | C2 | semidirect |
| 6. #31823186 | C2 | semidirect |
| 7. #328×C281 | C2 | semidirect |
| 30. C2×Dic562 | D4 | semidirect |
| 44. C4⋊Dic281 | D4 | semidirect |
| 54. C2×Q8×C281 | D4 | semidirect |
| 59. C4⋊C4×C281 | D4 | semidirect |
| 72. C22×D281 | SD16 | semidirect |
| 130. C281 | #1596 | semidirect |
| 137. #328 | D281 | semidirect |
| 162. C2×Q8 | D1124 | semidirect |
| 184. C4⋊C4 | D1124 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #31824088 | 2 |
| #31823616 | 2 |
| #31823613 | 2 |
| #31823373 | 2 |
| #31823199 | 2 |
| #31823186 | 2 |
| #328×C281 | 2 |
| #1596 | 281 |