Finite Group DatabasebetaFinite Group DatabasebetaOrder 2176.
380 conjugacy classes of subgroups; only the 121 normal subgroups are shown.
This group has 380 conjugacy classes of subgroups — too many to draw. Only its 121 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. #11763091 | C2 | semidirect |
| 5. #11763020 | C2 | semidirect |
| 6. #11763019 | C2 | semidirect |
| 8. #11762915 | C2 | semidirect |
| 9. #11762913 | C2 | semidirect |
| 11. C17×#475 | C2 | semidirect |
| 133. #475 | D17 | semidirect |
| 175. C17 | #3113 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11763364 | 2 |
| C4×Q8×D17 | 2 |
| #11763141 | 2 |
| #11763091 | 2 |
| #11763020 | 2 |
| #11763019 | 2 |
| #11762966 | 2 |
| #11762915 | 2 |
| #11762913 | 2 |
| #11762865 | 2 |
| C17×#475 | 2 |
| #3113 | 17 |