Finite Group DatabasebetaFinite Group DatabasebetaOrder 35968.
376 conjugacy classes of subgroups; only the 93 normal subgroups are shown.
This group has 376 conjugacy classes of subgroups — too many to draw. Only its 93 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×#17985122 | C2 | semidirect |
| 3. C2×#22582807 | C2 | semidirect |
| 4. #31823223 | C2 | semidirect |
| 5. C4×C22⋊C4×C281 | C2 | semidirect |
| 12. #22582858 | C4 | semidirect |
| 13. #22582858 | C4 | semidirect |
| 14. #22582853 | C4 | semidirect |
| 15. #22582853 | C4 | semidirect |
| 35. #17985122 | D4 | semidirect |
| 103. C22×C281 | #104 | semidirect |
| 125. C281 | #1871 | semidirect |
| 130. C4×C22⋊C4 | D281 | semidirect |
| 232. C22 | #22582807 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×#17985122 | 2 |
| #31823974 | 2 |
| C2×#22582807 | 2 |
| #31823223 | 2 |
| C4×C22⋊C4×C281 | 2 |
| #1871 | 281 |