Finite Group DatabasebetaFinite Group DatabasebetaOrder 35968.
182 conjugacy classes of subgroups; only the 67 normal subgroups are shown.
This group has 182 conjugacy classes of subgroups — too many to draw. Only its 67 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. C8×D1124 | C2 | semidirect |
| 3. #31823215 | C2 | semidirect |
| 4. D4⋊#14555886 | C2 | semidirect |
| 5. #31823190 | C2 | semidirect |
| 6. #31823184 | C2 | semidirect |
| 7. #436×C281 | C2 | semidirect |
| 44. D1124 | M16 | semidirect |
| 63. C8×C281 | D8 | semidirect |
| 83. C281 | #1581 | semidirect |
| 86. #436 | D281 | semidirect |
| 147. C8 | #17985123 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C4×#17985123 | 2 |
| C8×D1124 | 2 |
| #31823215 | 2 |
| D4⋊#14555886 | 2 |
| #31823190 | 2 |
| #31823184 | 2 |
| #436×C281 | 2 |
| #1581 | 281 |