Finite Group DatabasebetaFinite Group DatabasebetaOrder 2176.
156 conjugacy classes of subgroups; only the 57 normal subgroups are shown.
This group has 156 conjugacy classes of subgroups — too many to draw. Only its 57 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 |
|---|---|---|
| 40. Dic34 | Q16 | semidirect |
| 74. C17 | #1670 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11763091 | 2 |
| C8×Dic34 | 2 |
| #11762562 | 2 |
| #11762555 | 2 |
| C17×#494 | 2 |
| #1670 | 17 |