Finite Group DatabasebetaFinite Group DatabasebetaOrder 35968.
388 conjugacy classes of subgroups; only the 121 normal subgroups are shown.
This group has 388 conjugacy classes of subgroups — too many to draw. Only its 121 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 |
|---|---|---|
| 4. C2×#22582789 | C2 | semidirect |
| 5. C4⋊C4×Dic281 | C2 | semidirect |
| 6. #31823225 | C2 | semidirect |
| 7. #340×C281 | C2 | semidirect |
| 12. #22582841 | C4 | semidirect |
| 17. #22582801 | C4 | semidirect |
| 18. #22582799 | C4 | semidirect |
| 39. C2×#14555886 | C2×C4 | semidirect |
| 41. C4⋊Dic281 | C2×C4 | semidirect |
| 51. C2×C8×C281 | C2×C4 | semidirect |
| 55. C4⋊C4×C281 | C2×C4 | semidirect |
| 66. D1124 | C42 | semidirect |
| 123. C281 | #1762 | semidirect |
| 131. #340 | D281 | semidirect |
| 169. C2×C8 | C4×D281 | semidirect |
| 175. C4⋊C4 | C4×D281 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#22582841 | 2 |
| C2×#22582801 | 2 |
| C2×#22582799 | 2 |
| C2×#22582789 | 2 |
| C4⋊C4×Dic281 | 2 |
| #31823225 | 2 |
| #340×C281 | 2 |
| #1762 | 281 |