Finite Group DatabasebetaFinite Group DatabasebetaOrder 2176.
326 conjugacy classes of subgroups; only the 91 normal subgroups are shown.
This group has 326 conjugacy classes of subgroups — too many to draw. Only its 91 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×#10587555 | C2 | semidirect |
| 4. #11762572 | C2 | semidirect |
| 5. C17×#336 | C2 | semidirect |
| 26. C2×D68 | Q8 | semidirect |
| 93. #336 | D17 | semidirect |
| 113. C17 | #2023 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#10587555 | 2 |
| C2×#10587492 | 2 |
| #11762711 | 2 |
| #11762572 | 2 |
| C17×#336 | 2 |
| #2023 | 17 |