Finite Group DatabasebetaFinite Group DatabasebetaOrder 2816.
646 conjugacy classes of subgroups; only the 211 normal subgroups are shown.
This group has 646 conjugacy classes of subgroups — too many to draw. Only its 211 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 |
|---|---|---|
| 3. #13070486 | C2 | semidirect |
| 4. #13070474 | C2 | semidirect |
| 15. C2×Dic88 | C4 | semidirect |
| 178. C11 | #33458 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×Dic88 | 2 |
| #13077483 | 2 |
| #13070486 | 2 |
| #13070474 | 2 |
| #13070335 | 2 |
| #13070212 | 2 |
| C11×#2158 | 2 |
| #33458 | 11 |