Finite Group DatabasebetaFinite Group DatabasebetaOrder 1408.
382 conjugacy classes of subgroups; only the 123 normal subgroups are shown.
This group has 382 conjugacy classes of subgroups — too many to draw. Only its 123 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. #10623098 | C2 | semidirect |
| 3. #10622688 | C2 | semidirect |
| 4. #10622688 | C2 | semidirect |
| 5. #10622684 | C2 | semidirect |
| 6. #10622683 | C2 | semidirect |
| 7. #10622637 | C2 | semidirect |
| 8. #10622631 | C2 | semidirect |
| 9. C4×#4324 | C2 | semidirect |
| 10. #10622622 | C2 | semidirect |
| 11. #10622620 | C2 | semidirect |
| 99. Dic22 | #41 | semidirect |
| 198. C11 | #3368 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C11×#550 | 2 |
| #10623098 | 2 |
| #10622688 | 2 |
| #10622684 | 2 |
| #10622683 | 2 |
| #10622637 | 2 |
| #10622631 | 2 |
| C4×#4324 | 2 |
| #10622622 | 2 |
| #10622620 | 2 |
| #3368 | 11 |