Finite Group DatabasebetaFinite Group DatabasebetaOrder 2176.
408 conjugacy classes of subgroups; only the 74 normal subgroups are shown.
This group has 408 conjugacy classes of subgroups — too many to draw. Only its 74 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×#10587539 | C2 | semidirect |
| 2. #11763751 | C2 | semidirect |
| 3. C4×C22⋊#595 | C2 | semidirect |
| 5. C22×D68 | C4 | semidirect |
| 12. C2×C4⋊C4×C17 | C4 | semidirect |
| 13. C2×#63227 | C4 | semidirect |
| 42. C22⋊#595 | D4 | semidirect |
| 105. C4×C17 | #99 | semidirect |
| 128. C2×C4⋊C4 | #595 | semidirect |
| 136. C17 | #1964 | semidirect |
| 222. C4 | #10587539 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#10587539 | 2 |
| #11763751 | 2 |
| C4×C22⋊#595 | 2 |
| C2×#10587581 | 2 |
| #1964 | 17 |