Finite Group DatabasebetaFinite Group DatabasebetaOrder 35968.
336 conjugacy classes of subgroups; only the 59 normal subgroups are shown.
This group has 336 conjugacy classes of subgroups — too many to draw. Only its 59 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. D4×D1124 | C2 | semidirect |
| 2. #31823839 | C2 | semidirect |
| 3. #31823655 | C2 | semidirect |
| 4. #31823206 | C2 | semidirect |
| 5. D4⋊#14555886 | C2 | semidirect |
| 6. #31823190 | C2 | semidirect |
| 7. #459×C281 | C2 | semidirect |
| 17. C4⋊#14555886 | C22 | semidirect |
| 19. C4×#14555886 | C22 | semidirect |
| 21. #127×C281 | C22 | semidirect |
| 23. C4⋊C8×C281 | C22 | semidirect |
| 66. D1124 | D8 | semidirect |
| 81. D4×C281 | D8 | semidirect |
| 117. C281 | #1619 | semidirect |
| 122. #459 | D281 | semidirect |
| 132. #127 | C2×D281 | semidirect |
| 139. C4⋊C8 | C2×D281 | semidirect |
| 194. D4 | #17985123 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| D4×D1124 | 2 |
| #31823839 | 2 |
| #31823655 | 2 |
| #31823206 | 2 |
| D4⋊#14555886 | 2 |
| #31823190 | 2 |
| #459×C281 | 2 |
| #1619 | 281 |