Finite Group DatabasebetaFinite Group DatabasebetaOrder 2176.
142 conjugacy classes of subgroups; only the 49 normal subgroups are shown.
This group has 142 conjugacy classes of subgroups — too many to draw. Only its 49 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. #11763213 | C2 | semidirect |
| 3. #11762636 | C2 | semidirect |
| 4. #11762627 | C2 | semidirect |
| 7. C17×#367 | C2 | semidirect |
| 31. D136 | Q8 | semidirect |
| 63. #367 | D17 | semidirect |
| 82. C17 | #2226 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11763213 | 2 |
| #11762891 | 2 |
| #11762636 | 2 |
| #11762627 | 2 |
| #11762611 | 2 |
| #11762609 | 2 |
| C17×#367 | 2 |
| #2226 | 17 |