Finite Group DatabasebetaFinite Group DatabasebetaOrder 1408.
208 conjugacy classes of subgroups; only the 61 normal subgroups are shown.
This group has 208 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 |
|---|---|---|
| 2. #10622307 | C2 | semidirect |
| 3. #10622307 | C2 | semidirect |
| 4. #10622307 | C2 | semidirect |
| 5. #10622306 | C2 | semidirect |
| 6. #10622294 | C2 | semidirect |
| 7. C11×#322 | C2 | semidirect |
| 64. #322 | D11 | semidirect |
| 113. C11 | #1717 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #10622308 | 2 |
| #10622307 | 2 |
| #10622306 | 2 |
| #10622294 | 2 |
| C11×#322 | 2 |
| #1717 | 11 |