Finite Group DatabasebetaFinite Group DatabasebetaOrder 2176.
324 conjugacy classes of subgroups; only the 88 normal subgroups are shown.
This group has 324 conjugacy classes of subgroups — too many to draw. Only its 88 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 |
|---|---|---|
| 9. C17×C4⋊Q8 | C4 | semidirect |
| 10. #10587630 | C4 | semidirect |
| 16. #10587555 | C4 | semidirect |
| 78. C4×C17 | #103 | semidirect |
| 82. Dic17 | #103 | semidirect |
| 100. C4⋊Q8 | #595 | semidirect |
| 110. C17 | #1981 | semidirect |
| 172. C4 | #10587549 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11763810 | 2 |
| C2×#10587549 | 2 |
| C4×C4⋊#595 | 2 |
| C4⋊Q8×D17 | 2 |
| #1981 | 17 |