Finite Group DatabasebetaFinite Group DatabasebetaOrder 1088.
162 conjugacy classes of subgroups; only the 60 normal subgroups are shown.
This group has 162 conjugacy classes of subgroups — too many to draw. Only its 60 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 | direct (N × H) |
| 6. C2×Q8×C17 | C4 | semidirect |
| 9. Q8×D17 | C4 | semidirect |
| 14. C2×Dic34 | C4 | semidirect |
| 24. Q8×C17 | C2×C4 | semidirect |
| 38. Dic34 | C2×C4 | semidirect |
| 53. C2×C17 | #103 | semidirect |
| 55. D17 | #103 | semidirect |
| 62. C17 | C2×#103 | semidirect |
| 69. C2×Q8 | #595 | semidirect |
| 84. Q8 | C2×#595 | semidirect |
| 113. C2 | #10587549 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×Q8×D17 | 2 |
| C2×C4⋊#595 | 2 |
| C2×#63242 | 2 |
| #10587549 | 2 |
| C2×#103 | 17 |