Finite Group DatabasebetaFinite Group DatabasebetaOrder 2176.
278 conjugacy classes of subgroups; only the 97 normal subgroups are shown.
This group has 278 conjugacy classes of subgroups — too many to draw. Only its 97 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. C2×#10587493 | C2 | semidirect |
| 4. #11762573 | C2 | semidirect |
| 72. C22×C17 | #108 | semidirect |
| 104. C17 | #1855 | semidirect |
| 157. C22 | #10587493 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#10587493 | 2 |
| #11762773 | 2 |
| C2×C22⋊#3622 | 2 |
| #11762573 | 2 |
| C22×M16×C17 | 2 |
| #1855 | 17 |