Finite Group DatabasebetaFinite Group DatabasebetaOrder 35968.
872 conjugacy classes of subgroups; only the 237 normal subgroups are shown.
This group has 872 conjugacy classes of subgroups — too many to draw. Only its 237 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. C2×C4×Dic562 | C2 | semidirect |
| 3. #31823365 | C2 | semidirect |
| 4. #31823363 | C2 | semidirect |
| 5. #31823323 | C2 | semidirect |
| 6. #31823322 | C2 | semidirect |
| 7. #31823310 | C2 | semidirect |
| 8. C4×C22⋊C4×C281 | C2 | semidirect |
| 10. C2×#17985138 | C4 | semidirect |
| 60. Dic562 | C22⋊C4 | semidirect |
| 85. C2×C4×C281 | #41 | semidirect |
| 114. C281 | #2341 | semidirect |
| 123. C4×C22⋊C4 | D281 | semidirect |
| 200. C2×C4 | #17985138 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×#17985138 | 2 |
| C2×C4×Dic562 | 2 |
| #31823365 | 2 |
| #31823363 | 2 |
| #31823323 | 2 |
| #31823322 | 2 |
| #31823310 | 2 |
| C4×C22⋊C4×C281 | 2 |
| #2341 | 281 |