Finite Group DatabasebetaFinite Group DatabasebetaOrder 35456.
340 conjugacy classes of subgroups; only the 113 normal subgroups are shown.
This group has 340 conjugacy classes of subgroups — too many to draw. Only its 113 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. C2×#22579814 | C2 | semidirect |
| 2. C2×#22579804 | C2 | semidirect |
| 4. C2×#22579790 | C2 | semidirect |
| 5. #31799909 | C2 | semidirect |
| 22. C2×SD16×C277 | C4 | semidirect |
| 87. C8×C277 | C22⋊C4 | semidirect |
| 112. C277 | #1973 | semidirect |
| 125. C2×SD16 | Dic277 | semidirect |
| 200. C8 | C22⋊Dic277 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#22579814 | 2 |
| C2×#22579804 | 2 |
| C2×#22579801 | 2 |
| C2×#22579790 | 2 |
| #31799909 | 2 |
| #31799905 | 2 |
| C22×SD16×C277 | 2 |
| #1973 | 277 |