Finite Group DatabasebetaFinite Group DatabasebetaOrder 2176.
362 conjugacy classes of subgroups; only the 149 normal subgroups are shown.
This group has 362 conjugacy classes of subgroups — too many to draw. Only its 149 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. #11763116 | C2 | semidirect |
| 3. #11763116 | C2 | semidirect |
| 4. #11763104 | C2 | semidirect |
| 5. #11763094 | C2 | semidirect |
| 43. C2×Q8×C17 | Q8 | semidirect |
| 157. C17 | #3082 | semidirect |
| 161. C2×Q8 | Dic34 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11763437 | 2 |
| #11763116 | 2 |
| #11763104 | 2 |
| #11763094 | 2 |
| #11762852 | 2 |
| #11762845 | 2 |
| #11762836 | 2 |
| #11762818 | 2 |
| C2×#10587506 | 2 |
| C17×#519 | 2 |
| #3082 | 17 |