Finite Group DatabasebetaFinite Group DatabasebetaOrder 2176.
152 conjugacy classes of subgroups; only the 72 normal subgroups are shown.
This group has 152 conjugacy classes of subgroups — too many to draw. Only its 72 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. #11763732 | C2 | semidirect |
| 3. #11763731 | C2 | semidirect |
| 66. C17 | #2153 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11763865 | 2 |
| #11763732 | 2 |
| #11763731 | 2 |
| #11762766 | 2 |
| #2153 | 17 |