Finite Group DatabasebetaFinite Group DatabasebetaOrder 35456.
170 conjugacy classes of subgroups; only the 43 normal subgroups are shown.
This group has 170 conjugacy classes of subgroups — too many to draw. Only its 43 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. #31800440 | C2 | semidirect |
| 2. #31800438 | C2 | semidirect |
| 3. #31800377 | C2 | semidirect |
| 4. #31800118 | C2 | semidirect |
| 5. #31799822 | C2 | semidirect |
| 6. #31799814 | C2 | semidirect |
| 7. #361×C277 | C2 | semidirect |
| 26. Dic1108 | D4 | semidirect |
| 30. D2216 | D4 | semidirect |
| 77. C277 | #2213 | semidirect |
| 85. #361 | D277 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #31800440 | 2 |
| #31800438 | 2 |
| #31800377 | 2 |
| #31800118 | 2 |
| #31799822 | 2 |
| #31799814 | 2 |
| #361×C277 | 2 |
| #2213 | 277 |