Finite Group DatabasebetaFinite Group DatabasebetaOrder 2176.
260 conjugacy classes of subgroups; only the 78 normal subgroups are shown.
This group has 260 conjugacy classes of subgroups — too many to draw. Only its 78 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. C17×#125 | C4 | semidirect |
| 14. #10587576 | C4 | semidirect |
| 15. #10587576 | C4 | semidirect |
| 19. #10587556 | C4 | semidirect |
| 109. #125 | #595 | semidirect |
| 120. C17 | #1989 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11763810 | 2 |
| C4×C4⋊#595 | 2 |
| #11763682 | 2 |
| #125×D17 | 2 |
| #1989 | 17 |