Finite Group DatabasebetaFinite Group DatabasebetaOrder 2176.
234 conjugacy classes of subgroups; only the 40 normal subgroups are shown.
This group has 234 conjugacy classes of subgroups — too many to draw. Only its 40 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 |
|---|---|---|
| 4. C23×#595 | C4 | semidirect |
| 7. C2×C22⋊#595 | C4 | semidirect |
| 11. #10587553 | C4 | semidirect |
| 13. C17×#99 | C4 | semidirect |
| 14. #10587505 | C4 | semidirect |
| 120. #99 | #595 | semidirect |
| 122. C17 | #1390 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| D17⋊#100 | 2 |
| #11763757 | 2 |
| #99×D17 | 2 |
| #1390 | 17 |