Finite Group DatabasebetaFinite Group DatabasebetaOrder 2816.
492 conjugacy classes of subgroups; only the 109 normal subgroups are shown.
This group has 492 conjugacy classes of subgroups — too many to draw. Only its 109 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 |
|---|---|---|
| 2. #13077224 | C2 | semidirect |
| 3. C2×#10622201 | C2 | semidirect |
| 4. #13070245 | C2 | semidirect |
| 5. #13066729 | C2 | semidirect |
| 6. #13066720 | C2 | semidirect |
| 7. C2×C11×#361 | C2 | semidirect |
| 118. C2×#361 | D11 | semidirect |
| 282. C11 | #13007 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#10622773 | 2 |
| #13077224 | 2 |
| C2×#10622201 | 2 |
| #13070245 | 2 |
| #13066729 | 2 |
| #13066720 | 2 |
| C2×C11×#361 | 2 |
| #13007 | 11 |