Finite Group DatabasebetaFinite Group DatabasebetaOrder 1088.
202 conjugacy classes of subgroups; only the 60 normal subgroups are shown.
This group has 202 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 |
|---|---|---|
| 2. C2×C4⋊#595 | C2 | semidirect |
| 3. C2×#63242 | C2 | semidirect |
| 4. #10587547 | C2 | direct (N × H) |
| 7. C2×D4×C17 | C4 | semidirect |
| 11. D4×D17 | C4 | semidirect |
| 13. C2×D68 | C4 | semidirect |
| 17. C4⋊#595 | C22 | semidirect |
| 19. #63242 | C22 | semidirect |
| 30. D4×C17 | C2×C4 | semidirect |
| 36. D68 | C2×C4 | semidirect |
| 61. C2×C17 | #102 | semidirect |
| 64. D17 | #102 | semidirect |
| 71. C17 | C2×#102 | semidirect |
| 79. C2×D4 | #595 | semidirect |
| 99. D4 | C2×#595 | semidirect |
| 131. C2 | #10587547 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×D4×D17 | 2 |
| C2×C4⋊#595 | 2 |
| C2×#63242 | 2 |
| #10587547 | 2 |
| C2×#102 | 17 |