Finite Group DatabasebetaFinite Group DatabasebetaOrder 2176.
208 conjugacy classes of subgroups; only the 55 normal subgroups are shown.
This group has 208 conjugacy classes of subgroups — too many to draw. Only its 55 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 |
|---|---|---|
| 7. C4⋊#3633 | C4 | semidirect |
| 17. C4×#595 | C8 | semidirect |
| 21. C42×C17 | C8 | semidirect |
| 23. C4×Dic17 | C8 | semidirect |
| 67. C17 | #1276 | semidirect |
| 81. C42 | #3633 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11763922 | 2 |
| C42×#595 | 2 |
| #1276 | 17 |