Finite Group DatabasebetaFinite Group DatabasebetaOrder 2176.
332 conjugacy classes of subgroups; only the 89 normal subgroups are shown.
This group has 332 conjugacy classes of subgroups — too many to draw. Only its 89 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×#10587634 | C2 | semidirect |
| 3. C2×#10587480 | C2 | semidirect |
| 4. C2×#10587494 | C2 | semidirect |
| 5. #11762578 | C2 | semidirect |
| 6. #11762573 | C2 | semidirect |
| 7. C17×#417 | C2 | semidirect |
| 13. #10587635 | C4 | semidirect |
| 119. #417 | D17 | semidirect |
| 151. C17 | #1907 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#10587635 | 2 |
| C2×#10587634 | 2 |
| C2×#10587480 | 2 |
| C2×#10587494 | 2 |
| #11762578 | 2 |
| #11762573 | 2 |
| C17×#417 | 2 |
| #1907 | 17 |