Finite Group DatabasebetaFinite Group DatabasebetaOrder 1408.
154 conjugacy classes of subgroups; only the 47 normal subgroups are shown.
This group has 154 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. #10622522 | C2 | semidirect |
| 3. #10622313 | C2 | semidirect |
| 4. #10622309 | C2 | semidirect |
| 5. C11×#364 | C2 | semidirect |
| 6. #10622155 | C2 | semidirect |
| 7. #10622154 | C2 | semidirect |
| 66. #364 | D11 | semidirect |
| 118. C11 | #2212 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #10622522 | 2 |
| #10622521 | 2 |
| #10622313 | 2 |
| #10622309 | 2 |
| C11×#364 | 2 |
| #10622155 | 2 |
| #10622154 | 2 |
| #2212 | 11 |