Finite Group DatabasebetaFinite Group DatabasebetaOrder 1088.
114 conjugacy classes of subgroups; only the 46 normal subgroups are shown.
This group has 114 conjugacy classes of subgroups — too many to draw. Only its 46 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 |
|---|---|---|
| 9. C4⋊#595 | C4 | semidirect |
| 11. #63242 | C4 | semidirect |
| 12. C4⋊C4×C17 | C4 | semidirect |
| 13. C4⋊Dic17 | C4 | semidirect |
| 55. C17 | #340 | semidirect |
| 66. C4⋊C4 | #595 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×C4⋊#595 | 2 |
| C2×#63242 | 2 |
| C4⋊C4×D17 | 2 |
| #340 | 17 |