Finite Group DatabasebetaFinite Group DatabasebetaOrder 35968.
240 conjugacy classes of subgroups; only the 55 normal subgroups are shown.
This group has 240 conjugacy classes of subgroups — too many to draw. Only its 55 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. #31823868 | C2 | semidirect |
| 3. #31823743 | C2 | semidirect |
| 4. #31823669 | C2 | semidirect |
| 5. #31823210 | C2 | semidirect |
| 6. #31823192 | C2 | semidirect |
| 7. D4⋊C8×C281 | C2 | semidirect |
| 97. C281 | #1647 | semidirect |
| 105. D4⋊C8 | D281 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #31824118 | 2 |
| #31823868 | 2 |
| #31823743 | 2 |
| #31823669 | 2 |
| #31823210 | 2 |
| #31823192 | 2 |
| D4⋊C8×C281 | 2 |
| #1647 | 281 |