Finite Group DatabasebetaFinite Group DatabasebetaOrder 2176.
106 conjugacy classes of subgroups; only the 41 normal subgroups are shown.
This group has 106 conjugacy classes of subgroups — too many to draw. Only its 41 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 |
|---|---|---|
| 1. #11763241 | C2 | semidirect |
| 2. #11762649 | C2 | semidirect |
| 3. #11762647 | C2 | semidirect |
| 4. #11762646 | C2 | semidirect |
| 5. #11762644 | C2 | semidirect |
| 6. C2×#10587465 | C2 | semidirect |
| 7. C17×#508 | C2 | semidirect |
| 50. #508 | D17 | semidirect |
| 71. C17 | #2262 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11763241 | 2 |
| #11762649 | 2 |
| #11762647 | 2 |
| #11762646 | 2 |
| #11762644 | 2 |
| C2×#10587465 | 2 |
| C17×#508 | 2 |
| #2262 | 17 |