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. #31823840 | C2 | semidirect |
| 3. #31823659 | C2 | semidirect |
| 4. #31823658 | C2 | semidirect |
| 5. #31823206 | C2 | semidirect |
| 6. #31823192 | C2 | semidirect |
| 7. D4⋊C8×C281 | C2 | semidirect |
| 14. #22582876 | C22 | semidirect |
| 19. C4⋊#14555886 | C22 | semidirect |
| 23. C4⋊C8×C281 | C22 | semidirect |
| 24. C4×C8×C281 | C22 | semidirect |
| 72. D1124 | D8 | semidirect |
| 80. D4×C281 | D8 | semidirect |
| 117. C281 | #1619 | semidirect |
| 125. D4⋊C8 | D281 | semidirect |
| 139. C4⋊C8 | C2×D281 | semidirect |
| 142. C4×C8 | C2×D281 | semidirect |
| 194. D4 | D2248 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| D4×D1124 | 2 |
| #31823840 | 2 |
| #31823659 | 2 |
| #31823658 | 2 |
| #31823206 | 2 |
| #31823192 | 2 |
| D4⋊C8×C281 | 2 |
| #1619 | 281 |