Finite Group DatabasebetaFinite Group DatabasebetaOrder 2176.
160 conjugacy classes of subgroups; only the 71 normal subgroups are shown.
This group has 160 conjugacy classes of subgroups — too many to draw. Only its 71 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 |
|---|---|---|
| 3. #11763912 | C2 | semidirect |
| 4. C4⋊#63241 | C2 | semidirect |
| 68. C17 | #2151 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#10587670 | 2 |
| C22×#63241 | 2 |
| #11763912 | 2 |
| C4⋊#63241 | 2 |
| #11763773 | 2 |
| #2151 | 17 |