Finite Group DatabasebetaFinite Group DatabasebetaOrder 1088.
162 conjugacy classes of subgroups; only the 50 normal subgroups are shown.
This group has 162 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. C2×C4⋊#595 | C2 | semidirect |
| 3. D17⋊M16 | C2 | semidirect |
| 4. #10587549 | C2 | semidirect |
| 5. #10587547 | C2 | semidirect |
| 7. #41×C17 | C4 | semidirect |
| 8. #63256 | C4 | semidirect |
| 11. #63254 | C4 | semidirect |
| 15. #63252 | C4 | semidirect |
| 27. Q8×C17 | C2×C4 | semidirect |
| 29. D4×C17 | C2×C4 | semidirect |
| 38. D68 | C2×C4 | semidirect |
| 47. Dic34 | C2×C4 | semidirect |
| 78. C17 | #417 | semidirect |
| 84. #41 | #595 | semidirect |
| 100. Q8 | C2×#595 | semidirect |
| 107. D4 | C2×#595 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #41×D17 | 2 |
| C2×C4⋊#595 | 2 |
| D17⋊M16 | 2 |
| #10587549 | 2 |
| #10587547 | 2 |
| #417 | 17 |