Finite Group DatabasebetaFinite Group DatabasebetaOrder 2176.
314 conjugacy classes of subgroups; only the 144 normal subgroups are shown.
This group has 314 conjugacy classes of subgroups — too many to draw. Only its 144 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 |
|---|---|---|
| 1. #11763861 | C2 | semidirect |
| 2. #11763861 | C2 | semidirect |
| 3. #11763860 | C2 | semidirect |
| 4. #11763859 | C2 | semidirect |
| 140. C17 | #2987 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11763861 | 2 |
| #11763860 | 2 |
| #11763859 | 2 |
| #11763833 | 2 |
| #11763830 | 2 |
| #11763829 | 2 |
| #11763361 | 2 |
| #2987 | 17 |