Finite Group DatabasebetaFinite Group DatabasebetaOrder 35456.
372 conjugacy classes of subgroups; only the 109 normal subgroups are shown.
This group has 372 conjugacy classes of subgroups — too many to draw. Only its 109 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×#22579809 | C2 | semidirect |
| 5. #31799871 | C2 | semidirect |
| 6. #31799764 | C2 | semidirect |
| 7. #340×C277 | C2 | semidirect |
| 12. #22579842 | C4 | semidirect |
| 67. D1108 | C4⋊C4 | semidirect |
| 115. Dic277 | #102 | semidirect |
| 124. C277 | #1802 | semidirect |
| 132. #340 | D277 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#22579842 | 2 |
| C2×#22579809 | 2 |
| C2×#22579802 | 2 |
| C2×#22579800 | 2 |
| #31799871 | 2 |
| #31799764 | 2 |
| #340×C277 | 2 |
| #1802 | 277 |