Finite Group DatabasebetaFinite Group DatabasebetaOrder 2176.
424 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 424 conjugacy classes of subgroups — too many to draw. Only its 141 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. C2×#10587555 | C2 | semidirect |
| 2. #11763168 | C2 | semidirect |
| 3. #11763159 | C2 | semidirect |
| 4. #11763155 | C2 | semidirect |
| 5. #11762810 | C2 | semidirect |
| 6. C4×#63223 | C2 | semidirect |
| 129. C17 | #3141 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#10587555 | 2 |
| #11763168 | 2 |
| #11763159 | 2 |
| #11763155 | 2 |
| #11762810 | 2 |
| C4×#63223 | 2 |
| C17×#532 | 2 |
| #3141 | 17 |