Finite Group DatabasebetaFinite Group DatabasebetaOrder 1088.
170 conjugacy classes of subgroups; only the 50 normal subgroups are shown.
This group has 170 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. #10587550 | C2 | semidirect |
| 5. #10587548 | C2 | semidirect |
| 7. #41×C17 | C4 | semidirect |
| 9. Q8×D17 | C4 | semidirect |
| 13. D4×D17 | C4 | semidirect |
| 15. #63252 | C4 | semidirect |
| 20. C4×#595 | C22 | semidirect |
| 21. #63243 | C22 | semidirect |
| 27. Q8×C17 | C2×C4 | semidirect |
| 29. D4×C17 | C2×C4 | semidirect |
| 38. D68 | C2×C4 | semidirect |
| 47. Dic34 | C2×C4 | semidirect |
| 69. D17 | #104 | semidirect |
| 75. C17 | C2×#104 | semidirect |
| 81. #41 | #595 | semidirect |
| 97. Q8 | C2×#595 | semidirect |
| 104. 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 |
| #10587550 | 2 |
| #10587548 | 2 |
| C2×#104 | 17 |