Finite Group DatabasebetaFinite Group DatabasebetaOrder 35968.
278 conjugacy classes of subgroups; only the 69 normal subgroups are shown.
This group has 278 conjugacy classes of subgroups — too many to draw. Only its 69 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. #31823505 | C2 | semidirect |
| 4. C2×#22582797 | C2 | semidirect |
| 5. #31823369 | C2 | semidirect |
| 6. #31823223 | C2 | semidirect |
| 120. C281 | #2038 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #31824034 | 2 |
| #31823505 | 2 |
| #31823464 | 2 |
| C2×#22582797 | 2 |
| #31823369 | 2 |
| #31823223 | 2 |
| C2×#104×C281 | 2 |
| #2038 | 281 |