Finite Group DatabasebetaFinite Group DatabasebetaOrder 2176.
156 conjugacy classes of subgroups; only the 73 normal subgroups are shown.
This group has 156 conjugacy classes of subgroups — too many to draw. Only its 73 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 |
|---|---|---|
| 9. C4×C8×C17 | C4 | semidirect |
| 13. C4⋊#3622 | C4 | semidirect |
| 76. C4×C8 | Dic17 | semidirect |
| 79. C17 | #1286 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11762833 | 2 |
| #11762675 | 2 |
| C17×#431 | 2 |
| #1286 | 17 |