Finite Group DatabasebetaFinite Group DatabasebetaOrder 2176.
314 conjugacy classes of subgroups; only the 89 normal subgroups are shown.
This group has 314 conjugacy classes of subgroups — too many to draw. Only its 89 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 |
|---|---|---|
| 3. C2×#10587507 | C2 | semidirect |
| 4. #11762565 | C2 | semidirect |
| 5. C17×#519 | C2 | semidirect |
| 11. #10587633 | C4 | semidirect |
| 13. #10587630 | C4 | semidirect |
| 78. #519 | D17 | semidirect |
| 100. C17 | #1912 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11763383 | 2 |
| #11762827 | 2 |
| C2×#10587507 | 2 |
| #11762565 | 2 |
| C17×#519 | 2 |
| #1912 | 17 |