Finite Group DatabasebetaFinite Group DatabasebetaOrder 1408.
348 conjugacy classes of subgroups; only the 137 normal subgroups are shown.
This group has 348 conjugacy classes of subgroups — too many to draw. Only its 137 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 |
|---|---|---|
| 4. #10622463 | C2 | semidirect |
| 5. #10622462 | C2 | semidirect |
| 43. C2×C4×C11 | Q16 | semidirect |
| 106. C11 | #3249 | semidirect |
| 116. C2×C4 | Dic44 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #10623001 | 2 |
| C2×C11×C4⋊C8 | 2 |
| #10622729 | 2 |
| #10622463 | 2 |
| #10622462 | 2 |
| #3249 | 11 |