Finite Group DatabasebetaFinite Group DatabasebetaOrder 1408.
386 conjugacy classes of subgroups; only the 117 normal subgroups are shown.
This group has 386 conjugacy classes of subgroups — too many to draw. Only its 117 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 |
|---|---|---|
| 1. #10623265 | C2 | semidirect |
| 2. #10623257 | C2 | semidirect |
| 3. C11×#498 | C2 | semidirect |
| 4. #10622700 | C2 | semidirect |
| 5. #10622697 | C2 | semidirect |
| 6. #10622479 | C2 | semidirect |
| 7. #10622478 | C2 | semidirect |
| 8. #10622476 | C2 | semidirect |
| 9. #10622474 | C2 | semidirect |
| 10. C4×D88 | C2 | semidirect |
| 11. #10622301 | C2 | semidirect |
| 101. C8×C11 | #41 | semidirect |
| 105. #498 | D11 | semidirect |
| 201. C11 | #3354 | semidirect |
| 229. C8 | #4343 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #10623265 | 2 |
| #10623257 | 2 |
| C11×#498 | 2 |
| #10622700 | 2 |
| #10622697 | 2 |
| #10622479 | 2 |
| #10622478 | 2 |
| #10622476 | 2 |
| #10622474 | 2 |
| C4×D88 | 2 |
| #10622301 | 2 |
| #3354 | 11 |