Finite Group DatabasebetaFinite Group DatabasebetaOrder 1408.
170 conjugacy classes of subgroups; only the 47 normal subgroups are shown.
This group has 170 conjugacy classes of subgroups — too many to draw. Only its 47 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. #10622770 | C2 | semidirect |
| 2. C2×#66890 | C2 | semidirect |
| 3. C2×#66862 | C2 | semidirect |
| 4. #10622496 | C2 | semidirect |
| 5. C11×#357 | C2 | semidirect |
| 6. #10622147 | C2 | semidirect |
| 7. #10622128 | C2 | semidirect |
| 39. C11⋊C16 | D4 | semidirect |
| 65. #357 | D11 | semidirect |
| 119. C11 | #2218 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #10622770 | 2 |
| C2×#66890 | 2 |
| C2×#66862 | 2 |
| #10622496 | 2 |
| C11×#357 | 2 |
| #10622147 | 2 |
| #10622128 | 2 |
| #2218 | 11 |