Finite Group DatabasebetaFinite Group DatabasebetaOrder 2176.
552 conjugacy classes of subgroups; only the 101 normal subgroups are shown.
This group has 552 conjugacy classes of subgroups — too many to draw. Only its 101 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 |
|---|---|---|
| 2. C2×#10587476 | C2 | semidirect |
| 3. #11762811 | C2 | semidirect |
| 4. #11762810 | C2 | semidirect |
| 5. C2×#10587495 | C2 | semidirect |
| 6. #11762715 | C2 | semidirect |
| 7. C2×C17×#104 | C2 | semidirect |
| 12. #10587697 | C4 | semidirect |
| 150. C2×#104 | D17 | semidirect |
| 186. C17 | #1793 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#10587697 | 2 |
| C2×#10587476 | 2 |
| #11762811 | 2 |
| #11762810 | 2 |
| C2×#10587495 | 2 |
| #11762715 | 2 |
| C2×C17×#104 | 2 |
| #1793 | 17 |