Finite Group DatabasebetaFinite Group DatabasebetaOrder 2176.
220 conjugacy classes of subgroups; only the 88 normal subgroups are shown.
This group has 220 conjugacy classes of subgroups — too many to draw. Only its 88 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 |
|---|---|---|
| 11. #10587536 | C4 | semidirect |
| 12. #10587535 | C4 | semidirect |
| 17. C17×#108 | C4 | semidirect |
| 18. #10587493 | C4 | semidirect |
| 19. #10587490 | C4 | semidirect |
| 85. #108 | #595 | semidirect |
| 90. C17 | #1778 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| D17⋊#108 | 2 |
| M16×#595 | 2 |
| C2×#10587532 | 2 |
| #11763684 | 2 |
| #108×D17 | 2 |
| #1778 | 17 |