Finite Group DatabasebetaFinite Group DatabasebetaOrder 35968.
308 conjugacy classes of subgroups; only the 59 normal subgroups are shown.
This group has 308 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 |
|---|---|---|
| 2. #31823811 | C2 | semidirect |
| 3. #31823740 | C2 | semidirect |
| 4. #31823206 | C2 | semidirect |
| 5. D4⋊#14555886 | C2 | semidirect |
| 6. #31823190 | C2 | semidirect |
| 7. #461×C281 | C2 | semidirect |
| 16. C4⋊#14555886 | C22 | semidirect |
| 19. C4×#14555886 | C22 | semidirect |
| 21. C4⋊Q8×C281 | C22 | semidirect |
| 23. C4⋊C8×C281 | C22 | semidirect |
| 64. D1124 | SD16 | semidirect |
| 109. C281 | #1639 | semidirect |
| 114. #461 | D281 | semidirect |
| 121. C4⋊Q8 | C2×D281 | semidirect |
| 130. C4⋊C8 | C2×D281 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| D4×D1124 | 2 |
| #31823811 | 2 |
| #31823740 | 2 |
| #31823206 | 2 |
| D4⋊#14555886 | 2 |
| #31823190 | 2 |
| #461×C281 | 2 |
| #1639 | 281 |