Finite Group DatabasebetaFinite Group DatabasebetaOrder 1408.
210 conjugacy classes of subgroups; only the 65 normal subgroups are shown.
This group has 210 conjugacy classes of subgroups — too many to draw. Only its 65 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 |
|---|---|---|
| 4. #10622737 | C2 | semidirect |
| 5. #10622732 | C2 | semidirect |
| 6. #10622612 | C2 | semidirect |
| 7. #10622169 | C2 | semidirect |
| 137. C11 | #2098 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C11×#421 | 2 |
| #10622849 | 2 |
| #10622847 | 2 |
| #10622737 | 2 |
| #10622732 | 2 |
| #10622612 | 2 |
| #10622169 | 2 |
| #2098 | 11 |