Finite Group DatabasebetaFinite Group DatabasebetaOrder 2176.
380 conjugacy classes of subgroups; only the 129 normal subgroups are shown.
This group has 380 conjugacy classes of subgroups — too many to draw. Only its 129 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. #11763176 | C2 | semidirect |
| 4. #11763158 | C2 | semidirect |
| 131. C17 | #3139 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11763362 | 2 |
| C2×#10587630 | 2 |
| #11763176 | 2 |
| #11763158 | 2 |
| #11762819 | 2 |
| #11762818 | 2 |
| #11762817 | 2 |
| M16×Dic17 | 2 |
| C17×#419 | 2 |
| #3139 | 17 |