Finite Group DatabasebetaFinite Group DatabasebetaOrder 35968.
266 conjugacy classes of subgroups; only the 81 normal subgroups are shown.
This group has 266 conjugacy classes of subgroups — too many to draw. Only its 81 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. #31823487 | C2 | semidirect |
| 3. #31823195 | C2 | semidirect |
| 4. #31823192 | C2 | semidirect |
| 5. C4×M16×C281 | C2 | semidirect |
| 54. Dic562 | M16 | semidirect |
| 56. D1124 | M16 | semidirect |
| 102. C281 | #1489 | semidirect |
| 106. C4×M16 | D281 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C4×#17985138 | 2 |
| #31823487 | 2 |
| #31823195 | 2 |
| #31823192 | 2 |
| C4×M16×C281 | 2 |
| #1489 | 281 |