Finite Group DatabasebetaFinite Group DatabasebetaOrder 2176.
260 conjugacy classes of subgroups; only the 79 normal subgroups are shown.
This group has 260 conjugacy classes of subgroups — too many to draw. Only its 79 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 |
|---|---|---|
| 2. #11762835 | C2 | semidirect |
| 5. #11762580 | C2 | semidirect |
| 6. #11762579 | C2 | semidirect |
| 7. C17×#424 | C2 | semidirect |
| 90. #424 | D17 | semidirect |
| 114. C17 | #1868 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11763575 | 2 |
| #11762835 | 2 |
| #11762782 | 2 |
| #11762775 | 2 |
| #11762580 | 2 |
| #11762579 | 2 |
| C17×#424 | 2 |
| #1868 | 17 |