Finite Group DatabasebetaFinite Group DatabasebetaOrder 2176.
300 conjugacy classes of subgroups; only the 74 normal subgroups are shown.
This group has 300 conjugacy classes of subgroups — too many to draw. Only its 74 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. #11763682 | C2 | semidirect |
| 4. #11763682 | C2 | semidirect |
| 10. C17×#117 | C4 | semidirect |
| 11. #10587612 | C4 | semidirect |
| 12. #10587578 | C4 | semidirect |
| 13. #10587578 | C4 | semidirect |
| 122. #117 | #595 | semidirect |
| 132. C17 | #1825 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11763777 | 2 |
| #11763751 | 2 |
| #11763682 | 2 |
| #117×D17 | 2 |
| #1825 | 17 |