Finite Group DatabasebetaFinite Group DatabasebetaOrder 2176.
284 conjugacy classes of subgroups; only the 113 normal subgroups are shown.
This group has 284 conjugacy classes of subgroups — too many to draw. Only its 113 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. #11762767 | C2 | semidirect |
| 4. #11762581 | C2 | semidirect |
| 11. C2×#63223 | C4 | semidirect |
| 13. C22×#3622 | C4 | semidirect |
| 15. C17×#101 | C4 | semidirect |
| 16. C17×#100 | C4 | semidirect |
| 89. #101 | Dic17 | semidirect |
| 90. #100 | Dic17 | semidirect |
| 94. C17 | #1757 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#10587634 | 2 |
| #11762783 | 2 |
| #11762767 | 2 |
| #11762581 | 2 |
| C17×#413 | 2 |
| #1757 | 17 |