Finite Group DatabasebetaFinite Group DatabasebetaOrder 2176.
120 conjugacy classes of subgroups; only the 53 normal subgroups are shown.
This group has 120 conjugacy classes of subgroups — too many to draw. Only its 53 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 |
|---|---|---|
| 30. C16×C17 | Q8 | semidirect |
| 31. #63214 | Q8 | semidirect |
| 74. C17 | #2255 | semidirect |
| 87. C16 | Dic34 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11763213 | 2 |
| #11763210 | 2 |
| #11762636 | 2 |
| #11762635 | 2 |
| #11762634 | 2 |
| #11762584 | 2 |
| C17×#367 | 2 |
| #2255 | 17 |