Finite Group DatabasebetaFinite Group DatabasebetaOrder 1408.
398 conjugacy classes of subgroups; only the 115 normal subgroups are shown.
This group has 398 conjugacy classes of subgroups — too many to draw. Only its 115 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. #10623110 | C2 | semidirect |
| 3. C11×#460 | C2 | semidirect |
| 4. #10622787 | C2 | semidirect |
| 5. #10622786 | C2 | semidirect |
| 6. #10622683 | C2 | semidirect |
| 7. C4×#4326 | C2 | semidirect |
| 8. #10622463 | C2 | semidirect |
| 9. #10622451 | C2 | semidirect |
| 10. #10622387 | C2 | semidirect |
| 11. #10622384 | C2 | semidirect |
| 113. #460 | D11 | semidirect |
| 204. C11 | #3333 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #10623249 | 2 |
| #10623110 | 2 |
| C11×#460 | 2 |
| #10622787 | 2 |
| #10622786 | 2 |
| #10622683 | 2 |
| C4×#4326 | 2 |
| #10622463 | 2 |
| #10622451 | 2 |
| #10622387 | 2 |
| #10622384 | 2 |
| #3333 | 11 |