Finite Group DatabasebetaFinite Group DatabasebetaOrder 35968.
342 conjugacy classes of subgroups; only the 79 normal subgroups are shown.
This group has 342 conjugacy classes of subgroups — too many to draw. Only its 79 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. #31824229 | C2 | semidirect |
| 3. #31823445 | C2 | semidirect |
| 4. #31823426 | C2 | semidirect |
| 5. #31823426 | C2 | semidirect |
| 6. #31823233 | C2 | semidirect |
| 7. #344×C281 | C2 | semidirect |
| 50. C2×#14555886 | D4 | semidirect |
| 61. C2×C8×C281 | D4 | semidirect |
| 125. C281 | #1891 | semidirect |
| 133. #344 | D281 | semidirect |
| 184. C2×C8 | D1124 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #31824229 | 2 |
| #31823975 | 2 |
| #31823445 | 2 |
| #31823426 | 2 |
| #31823233 | 2 |
| #344×C281 | 2 |
| #1891 | 281 |