Finite Group DatabasebetaFinite Group DatabasebetaOrder 1408.
402 conjugacy classes of subgroups; only the 221 normal subgroups are shown.
This group has 402 conjugacy classes of subgroups — too many to draw. Only its 221 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. Q8×C11⋊C8 | C2 | semidirect |
| 3. #10622625 | C2 | semidirect |
| 4. #10622539 | C2 | semidirect |
| 5. C4×#4318 | C2 | semidirect |
| 37. Q8×C11 | M16 | semidirect |
| 49. C11⋊C8 | #41 | semidirect |
| 98. C11 | #2971 | semidirect |
| 100. Q8 | #4318 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C4×C11×#41 | 2 |
| Q8×C11⋊C8 | 2 |
| #10622625 | 2 |
| #10622539 | 2 |
| C4×#4318 | 2 |
| #2971 | 11 |