Finite Group DatabasebetaFinite Group DatabasebetaOrder 1088.
158 conjugacy classes of subgroups; only the 50 normal subgroups are shown.
This group has 158 conjugacy classes of subgroups — too many to draw. Only its 50 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. #10587677 | C2 | semidirect |
| 3. C2×#63242 | C2 | semidirect |
| 4. #10587549 | C2 | semidirect |
| 5. #10587547 | C2 | semidirect |
| 6. #41×C17 | C4 | semidirect |
| 7. #63256 | C4 | semidirect |
| 10. #63254 | C4 | semidirect |
| 14. #63252 | C4 | semidirect |
| 74. C17 | #416 | semidirect |
| 80. #41 | #595 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #41×D17 | 2 |
| #10587677 | 2 |
| C2×#63242 | 2 |
| #10587549 | 2 |
| #10587547 | 2 |
| #416 | 17 |