Finite Group DatabasebetaFinite Group DatabasebetaOrder 1088.
150 conjugacy classes of subgroups; only the 50 normal subgroups are shown.
This group has 150 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 |
|---|---|---|
| 4. #10587549 | C2 | semidirect |
| 5. C2×Q8×C17 | C4 | semidirect |
| 8. Q8×D17 | C4 | semidirect |
| 13. C2×Dic34 | C4 | semidirect |
| 59. C17 | #419 | semidirect |
| 66. C2×Q8 | #595 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×Q8×D17 | 2 |
| #10587677 | 2 |
| D17⋊M16 | 2 |
| #10587549 | 2 |
| #419 | 17 |