Finite Group DatabasebetaFinite Group DatabasebetaOrder 1408.
162 conjugacy classes of subgroups; only the 61 normal subgroups are shown.
This group has 162 conjugacy classes of subgroups — too many to draw. Only its 61 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 |
|---|---|---|
| 2. #10622637 | C2 | semidirect |
| 4. C11×Q8⋊C8 | C2 | semidirect |
| 5. #10622117 | C2 | semidirect |
| 7. #10622092 | C2 | semidirect |
| 61. C11⋊C8 | M16 | semidirect |
| 66. Q8⋊C8 | D11 | semidirect |
| 118. C11 | #1592 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C4×#4325 | 2 |
| #10622637 | 2 |
| #10622451 | 2 |
| C11×Q8⋊C8 | 2 |
| #10622117 | 2 |
| #10622097 | 2 |
| #10622092 | 2 |
| #1592 | 11 |