Finite Group DatabasebetaFinite Group DatabasebetaOrder 2176.
488 conjugacy classes of subgroups; only the 138 normal subgroups are shown.
This group has 488 conjugacy classes of subgroups — too many to draw. Only its 138 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. #11763679 | C2 | semidirect |
| 10. C2×C4×#595 | C4 | semidirect |
| 13. D17⋊M16 | C4 | semidirect |
| 16. C17×#117 | C4 | semidirect |
| 17. #10587612 | C4 | semidirect |
| 19. C4⋊C4×D17 | C4 | semidirect |
| 43. C4×#595 | C2×C4 | semidirect |
| 45. #63243 | C2×C4 | semidirect |
| 47. C4⋊C4×C17 | C2×C4 | semidirect |
| 52. C4⋊Dic17 | C2×C4 | semidirect |
| 116. D17 | #339 | semidirect |
| 128. #117 | #595 | semidirect |
| 136. C17 | C2×#339 | semidirect |
| 159. C4⋊C4 | C2×#595 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×D17⋊M16 | 2 |
| C22×C4×#595 | 2 |
| #11763679 | 2 |
| #117×D17 | 2 |
| C2×#339 | 17 |