Finite Group DatabasebetaFinite Group DatabasebetaOrder 1088.
190 conjugacy classes of subgroups; only the 50 normal subgroups are shown.
This group has 190 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. D17⋊M16 | C2 | semidirect |
| 4. #10587547 | C2 | semidirect |
| 6. C2×D4×C17 | C4 | semidirect |
| 10. D4×D17 | C4 | semidirect |
| 12. C2×D68 | C4 | semidirect |
| 16. C4⋊#595 | C22 | semidirect |
| 19. #63242 | C22 | semidirect |
| 66. C17 | #418 | semidirect |
| 74. C2×D4 | #595 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×D4×D17 | 2 |
| #10587677 | 2 |
| D17⋊M16 | 2 |
| #10587547 | 2 |
| #418 | 17 |