Finite Group DatabasebetaFinite Group DatabasebetaOrder 2176.
186 conjugacy classes of subgroups; only the 75 normal subgroups are shown.
This group has 186 conjugacy classes of subgroups — too many to draw. Only its 75 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 |
|---|---|---|
| 15. #10587489 | C4 | semidirect |
| 16. #10587489 | C4 | semidirect |
| 17. #10587488 | C4 | semidirect |
| 18. #10587488 | C4 | semidirect |
| 111. C17 | #1922 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11762847 | 2 |
| #11762835 | 2 |
| #11762764 | 2 |
| #11762574 | 2 |
| #11762569 | 2 |
| C17×#336 | 2 |
| #1922 | 17 |