Finite Group DatabasebetaFinite Group DatabasebetaOrder 1408.
424 conjugacy classes of subgroups; only the 153 normal subgroups are shown.
This group has 424 conjugacy classes of subgroups — too many to draw. Only its 153 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. C11×#340 | C2 | semidirect |
| 4. #10622189 | C2 | semidirect |
| 5. #10622167 | C2 | semidirect |
| 14. C2×C8×D11 | C4 | semidirect |
| 16. #66945 | C4 | semidirect |
| 65. #340 | D11 | semidirect |
| 119. C11 | #1735 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×C8×D11 | 2 |
| C2×#66945 | 2 |
| C11×#340 | 2 |
| #10622189 | 2 |
| #10622167 | 2 |
| #1735 | 11 |