Finite Group DatabasebetaFinite Group DatabasebetaOrder 2176.
544 conjugacy classes of subgroups; only the 185 normal subgroups are shown.
This group has 544 conjugacy classes of subgroups — too many to draw. Only its 185 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. #11762741 | C2 | semidirect |
| 4. #11762730 | C2 | semidirect |
| 5. #11762707 | C2 | semidirect |
| 43. C22⋊C4×C17 | Q8 | semidirect |
| 124. C17 | #2583 | semidirect |
| 148. C22⋊C4 | Dic34 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#10587610 | 2 |
| C22×#63225 | 2 |
| #11762741 | 2 |
| #11762730 | 2 |
| #11762707 | 2 |
| #11762684 | 2 |
| C4×C22⋊C4×C17 | 2 |
| #2583 | 17 |