Finite Group DatabasebetaFinite Group DatabasebetaOrder 1408.
358 conjugacy classes of subgroups; only the 119 normal subgroups are shown.
This group has 358 conjugacy classes of subgroups — too many to draw. Only its 119 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. C11×#441 | C2 | semidirect |
| 4. #10622794 | C2 | semidirect |
| 5. #10622643 | C2 | semidirect |
| 7. #10622468 | C2 | semidirect |
| 9. #10622405 | C2 | semidirect |
| 10. #10622329 | C2 | semidirect |
| 100. #441 | D11 | semidirect |
| 174. C11 | #3185 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #10623109 | 2 |
| C11×#441 | 2 |
| #10622802 | 2 |
| #10622794 | 2 |
| #10622643 | 2 |
| #10622481 | 2 |
| #10622468 | 2 |
| #10622429 | 2 |
| #10622405 | 2 |
| #10622329 | 2 |
| #10622320 | 2 |
| #3185 | 11 |