Finite Group DatabasebetaFinite Group DatabasebetaOrder 35968.
226 conjugacy classes of subgroups; only the 53 normal subgroups are shown.
This group has 226 conjugacy classes of subgroups — too many to draw. Only its 53 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. #31823898 | C2 | semidirect |
| 2. #31823716 | C2 | semidirect |
| 3. #31823273 | C2 | semidirect |
| 4. #31823245 | C2 | semidirect |
| 5. #575×C281 | C2 | semidirect |
| 6. C2×D2248 | C22 | semidirect |
| 10. #22582819 | C22 | semidirect |
| 11. #22582811 | C22 | semidirect |
| 35. Q16×C281 | D4 | semidirect |
| 39. D8×C281 | D4 | semidirect |
| 83. C281 | #2190 | semidirect |
| 85. #575 | D281 | semidirect |
| 115. Q16 | C22⋊D281 | semidirect |
| 120. D8 | C22⋊D281 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #31823898 | 2 |
| #31823716 | 2 |
| #31823273 | 2 |
| #31823245 | 2 |
| #575×C281 | 2 |
| #2190 | 281 |