Finite Group DatabasebetaFinite Group DatabasebetaOrder 35456.
336 conjugacy classes of subgroups; only the 117 normal subgroups are shown.
This group has 336 conjugacy classes of subgroups — too many to draw. Only its 117 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×#22579812 | C2 | semidirect |
| 4. #31799764 | C2 | semidirect |
| 5. C2×#106×C277 | C2 | semidirect |
| 10. C2×C8×D277 | C4 | semidirect |
| 67. C8×C277 | C22⋊C4 | semidirect |
| 77. C2×D277 | #106 | semidirect |
| 91. C277 | #1807 | semidirect |
| 95. C2×#106 | D277 | semidirect |
| 159. C8 | #17984540 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×C8×D277 | 2 |
| C2×#22579812 | 2 |
| #31799859 | 2 |
| #31799764 | 2 |
| C2×#106×C277 | 2 |
| #1807 | 277 |