Finite Group DatabasebetaFinite Group DatabasebetaOrder 2176.
504 conjugacy classes of subgroups; only the 74 normal subgroups are shown.
This group has 504 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 |
|---|---|---|
| 2. #11763687 | C2 | semidirect |
| 5. C23×C4×C17 | C4 | semidirect |
| 6. C23×Dic17 | C4 | semidirect |
| 12. C2×#63227 | C4 | semidirect |
| 106. C23×C4 | #595 | semidirect |
| 114. C17 | #1819 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11763750 | 2 |
| #11763687 | 2 |
| C22×#63227 | 2 |
| #1819 | 17 |