Finite Group DatabasebetaFinite Group DatabasebetaOrder 1408.
348 conjugacy classes of subgroups; only the 137 normal subgroups are shown.
This group has 348 conjugacy classes of subgroups — too many to draw. Only its 137 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×#499 | C2 | semidirect |
| 4. #10622677 | C2 | semidirect |
| 5. #10622677 | C2 | semidirect |
| 7. #10622489 | C2 | semidirect |
| 9. #10622469 | C2 | semidirect |
| 11. #10622296 | C2 | semidirect |
| 64. #4313 | Q8 | semidirect |
| 65. #4313 | Q8 | semidirect |
| 92. #499 | D11 | semidirect |
| 165. C11 | #3166 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #10623219 | 2 |
| D11×#125 | 2 |
| C11×#499 | 2 |
| #10622677 | 2 |
| #10622494 | 2 |
| #10622489 | 2 |
| #10622474 | 2 |
| #10622469 | 2 |
| C4×#4313 | 2 |
| #10622296 | 2 |
| #3166 | 11 |