Finite Group DatabasebetaFinite Group DatabasebetaOrder 35968.
412 conjugacy classes of subgroups; only the 99 normal subgroups are shown.
This group has 412 conjugacy classes of subgroups — too many to draw. Only its 99 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×#17985121 | C2 | semidirect |
| 3. C2×#22582800 | C2 | semidirect |
| 4. #31823320 | C2 | semidirect |
| 5. #31823226 | C2 | semidirect |
| 6. #31823225 | C2 | semidirect |
| 7. C2×#102×C281 | C2 | semidirect |
| 15. #22582850 | C4 | semidirect |
| 42. C2×#14555886 | D4 | semidirect |
| 60. C2×C8×C281 | D4 | semidirect |
| 145. C281 | #1895 | semidirect |
| 150. C2×#102 | D281 | semidirect |
| 200. C2×C8 | C22⋊D281 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×#17985121 | 2 |
| C2×#22582850 | 2 |
| C2×#22582800 | 2 |
| #31823320 | 2 |
| #31823226 | 2 |
| #31823225 | 2 |
| C2×#102×C281 | 2 |
| #1895 | 281 |