Finite Group DatabasebetaFinite Group DatabasebetaOrder 2176.
168 conjugacy classes of subgroups; only the 61 normal subgroups are shown.
This group has 168 conjugacy classes of subgroups — too many to draw. Only its 61 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. #11762936 | C2 | semidirect |
| 4. #11762539 | C2 | semidirect |
| 6. #11762531 | C2 | semidirect |
| 7. C17×#335 | C2 | semidirect |
| 77. #335 | D17 | semidirect |
| 100. C17 | #1585 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11762936 | 2 |
| C4×#63219 | 2 |
| #11762874 | 2 |
| #11762539 | 2 |
| #11762536 | 2 |
| #11762531 | 2 |
| C17×#335 | 2 |
| #1585 | 17 |