Finite Group DatabasebetaFinite Group DatabasebetaOrder 1088.
234 conjugacy classes of subgroups; only the 70 normal subgroups are shown.
This group has 234 conjugacy classes of subgroups — too many to draw. Only its 70 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 |
|---|---|---|
| 3. C2×C4⋊#595 | C2 | semidirect |
| 4. (C2×#595)⋊C4 | C2 | semidirect |
| 7. C22×C4×C17 | C4 | semidirect |
| 8. C22×Dic17 | C4 | semidirect |
| 10. C2×C4×D17 | C4 | semidirect |
| 11. C2×C4×D17 | C4 | semidirect |
| 38. C22×C17 | C4⋊C4 | semidirect |
| 44. C2×D17 | C4⋊C4 | semidirect |
| 51. C4×C17 | C22⋊C4 | semidirect |
| 53. Dic17 | C22⋊C4 | semidirect |
| 66. C17 | #380 | semidirect |
| 75. C22×C4 | #595 | semidirect |
| 109. C22 | C4⋊#595 | semidirect |
| 115. C4 | C22⋊#595 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×C4×D17 | 2 |
| C2×C22⋊#595 | 2 |
| C2×C4⋊#595 | 2 |
| (C2×#595)⋊C4 | 2 |
| #380 | 17 |