Finite Group DatabasebetaFinite Group DatabasebetaOrder 1408.
284 conjugacy classes of subgroups; only the 89 normal subgroups are shown.
This group has 284 conjugacy classes of subgroups — too many to draw. Only its 89 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 |
|---|---|---|
| 1. C11×#389 | C2 | semidirect |
| 4. C2×#66871 | C2 | semidirect |
| 6. C2×C4⋊(C11⋊C8) | C2 | semidirect |
| 7. #10622167 | C2 | semidirect |
| 94. #389 | D11 | semidirect |
| 172. C11 | #2067 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C11×#389 | 2 |
| C2×#66873 | 2 |
| C2×#66871 | 2 |
| #10622552 | 2 |
| C2×C4⋊(C11⋊C8) | 2 |
| #10622167 | 2 |
| #2067 | 11 |