Finite Group DatabasebetaFinite Group DatabasebetaOrder 2176.
142 conjugacy classes of subgroups; only the 53 normal subgroups are shown.
This group has 142 conjugacy classes of subgroups — too many to draw. Only its 53 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. #11762631 | C2 | semidirect |
| 4. #11762625 | C2 | semidirect |
| 6. #11762587 | C2 | semidirect |
| 7. C17×#441 | C2 | semidirect |
| 15. #10587500 | C4 | semidirect |
| 16. #10587499 | C4 | semidirect |
| 64. #441 | D17 | semidirect |
| 85. C17 | #2180 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11763250 | 2 |
| #11762932 | 2 |
| #11762631 | 2 |
| #11762625 | 2 |
| #11762618 | 2 |
| #11762587 | 2 |
| C17×#441 | 2 |
| #2180 | 17 |