Finite Group DatabasebetaFinite Group DatabasebetaOrder 1088.
210 conjugacy classes of subgroups; only the 50 normal subgroups are shown.
This group has 210 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×C22⋊#595 | C2 | semidirect |
| 3. #10587551 | C2 | semidirect |
| 4. #10587539 | C2 | semidirect |
| 5. C23×D17 | C4 | semidirect |
| 8. C2×D4×C17 | C4 | semidirect |
| 9. C2×C22⋊D17 | C4 | semidirect |
| 14. C2×C4×D17 | C4 | semidirect |
| 16. C22⋊#595 | C22 | semidirect |
| 18. C23×C17 | C2×C4 | semidirect |
| 24. C22×D17 | C2×C4 | semidirect |
| 31. C2×C4×C17 | C2×C4 | semidirect |
| 34. C2×Dic17 | C2×C4 | semidirect |
| 65. D17 | #99 | semidirect |
| 70. C17 | C2×#99 | semidirect |
| 78. C2×D4 | #595 | semidirect |
| 93. C23 | C2×#595 | semidirect |
| 103. C2×C4 | C2×#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 |
| C2×C22⋊#595 | 2 |
| #10587551 | 2 |
| #10587539 | 2 |
| C2×#99 | 17 |