Finite Group DatabasebetaFinite Group DatabasebetaOrder 1408.
388 conjugacy classes of subgroups; only the 139 normal subgroups are shown.
This group has 388 conjugacy classes of subgroups — too many to draw. Only its 139 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. #10623074 | C2 | semidirect |
| 3. #10622707 | C2 | semidirect |
| 4. #10622692 | C2 | semidirect |
| 5. #10622654 | C2 | semidirect |
| 6. #10622647 | C2 | semidirect |
| 7. C4×#4324 | C2 | semidirect |
| 8. D4×C11⋊C8 | C2 | semidirect |
| 9. #10622621 | C2 | semidirect |
| 10. #10622584 | C2 | semidirect |
| 11. C2×#66872 | C2 | semidirect |
| 81. D4×C11 | SD16 | semidirect |
| 101. C11⋊C8 | #41 | semidirect |
| 197. C11 | #3335 | semidirect |
| 207. D4 | #4324 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C11×#547 | 2 |
| #10623074 | 2 |
| #10622707 | 2 |
| #10622692 | 2 |
| #10622654 | 2 |
| #10622647 | 2 |
| C4×#4324 | 2 |
| D4×C11⋊C8 | 2 |
| #10622621 | 2 |
| #10622584 | 2 |
| C2×#66872 | 2 |
| #3335 | 11 |