Finite Group DatabasebetaFinite Group DatabasebetaOrder 2176.
216 conjugacy classes of subgroups; only the 65 normal subgroups are shown.
This group has 216 conjugacy classes of subgroups — too many to draw. Only its 65 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. #11762858 | C2 | semidirect |
| 2. #11762857 | C2 | semidirect |
| 6. #11762567 | C2 | semidirect |
| 7. C17×#430 | C2 | semidirect |
| 83. #430 | D17 | semidirect |
| 106. C17 | #2069 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11762858 | 2 |
| #11762857 | 2 |
| C2×#10587494 | 2 |
| #11762567 | 2 |
| C17×#430 | 2 |
| #2069 | 17 |