Finite Group DatabasebetaFinite Group DatabasebetaOrder 35968.
236 conjugacy classes of subgroups; only the 57 normal subgroups are shown.
This group has 236 conjugacy classes of subgroups — too many to draw. Only its 57 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. #31824170 | C2 | semidirect |
| 2. #31823836 | C2 | semidirect |
| 3. #31823664 | C2 | semidirect |
| 5. #31823211 | C2 | semidirect |
| 6. #31823195 | C2 | semidirect |
| 7. D4⋊C8×C281 | C2 | semidirect |
| 66. D4×C281 | SD16 | semidirect |
| 96. C281 | #1622 | semidirect |
| 104. D4⋊C8 | D281 | semidirect |
| 158. D4 | #17985127 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #31824170 | 2 |
| #31823836 | 2 |
| #31823664 | 2 |
| #31823658 | 2 |
| #31823211 | 2 |
| #31823195 | 2 |
| D4⋊C8×C281 | 2 |
| #1622 | 281 |