Finite Group DatabasebetaFinite Group DatabasebetaOrder 1408.
572 conjugacy classes of subgroups; only the 381 normal subgroups are shown.
This group has 572 conjugacy classes of subgroups — too many to draw. Only its 381 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. #10622610 | C2 | semidirect |
| 4. C4×#4318 | C2 | semidirect |
| 5. C2×C4×C11⋊C8 | C2 | semidirect |
| 11. #67001 | C4 | direct (N × H) |
| 28. #4318 | C2×C4 | semidirect |
| 29. C2×C11⋊C8 | C2×C4 | semidirect |
| 54. C4×C11 | #131 | semidirect |
| 85. C11 | C4×#131 | semidirect |
| 102. C4 | #67001 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C4×C11×#41 | 2 |
| C2×#67001 | 2 |
| #10622610 | 2 |
| C4×#4318 | 2 |
| C2×C4×C11⋊C8 | 2 |
| C4×#131 | 11 |