Finite Group DatabasebetaFinite Group DatabasebetaOrder 2176.
140 conjugacy classes of subgroups; only the 43 normal subgroups are shown.
This group has 140 conjugacy classes of subgroups — too many to draw. Only its 43 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 |
|---|---|---|
| 1. C2×#10587500 | C2 | semidirect |
| 5. #11762638 | C2 | semidirect |
| 6. #11762626 | C2 | semidirect |
| 7. C17×#362 | C2 | semidirect |
| 73. #362 | D17 | semidirect |
| 92. C17 | #2222 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#10587500 | 2 |
| #11763227 | 2 |
| #11763085 | 2 |
| #11763081 | 2 |
| #11762638 | 2 |
| #11762626 | 2 |
| C17×#362 | 2 |
| #2222 | 17 |