Finite Group DatabasebetaFinite Group DatabasebetaOrder 35968.
444 conjugacy classes of subgroups; only the 95 normal subgroups are shown.
This group has 444 conjugacy classes of subgroups — too many to draw. Only its 95 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. C22×#17985126 | C2 | semidirect |
| 2. C2×#22582858 | C2 | semidirect |
| 3. C2×#22582802 | C2 | semidirect |
| 4. C2×#22582800 | C2 | semidirect |
| 5. C2×C22⋊#14555886 | C2 | semidirect |
| 6. #31823225 | C2 | semidirect |
| 34. C2×Dic562 | D4 | semidirect |
| 43. C2×#14555886 | D4 | semidirect |
| 45. C4⋊Dic281 | D4 | semidirect |
| 96. C23×C281 | SD16 | semidirect |
| 157. C281 | #2000 | semidirect |
| 242. C23 | #17985126 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×#17985126 | 2 |
| C2×#22582858 | 2 |
| C2×#22582802 | 2 |
| C2×#22582800 | 2 |
| C2×C22⋊#14555886 | 2 |
| #31823225 | 2 |
| C2×#121×C281 | 2 |
| #2000 | 281 |