Finite Group DatabasebetaFinite Group DatabasebetaOrder 2176.
188 conjugacy classes of subgroups; only the 70 normal subgroups are shown.
This group has 188 conjugacy classes of subgroups — too many to draw. Only its 70 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 |
|---|---|---|
| 10. #10587544 | C4 | semidirect |
| 12. C17×C4⋊C8 | C4 | semidirect |
| 14. C4⋊#3622 | C4 | semidirect |
| 97. C4⋊C8 | #595 | semidirect |
| 98. C17 | #1296 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11763810 | 2 |
| #11763755 | 2 |
| C4⋊C8×D17 | 2 |
| #1296 | 17 |