Finite Group DatabasebetaFinite Group DatabasebetaOrder 1408.
152 conjugacy classes of subgroups; only the 73 normal subgroups are shown.
This group has 152 conjugacy classes of subgroups — too many to draw. Only its 73 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 |
|---|---|---|
| 41. C11⋊C8 | Q16 | semidirect |
| 80. C11 | #1591 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C4×C11×Q16 | 2 |
| #10622637 | 2 |
| Q8⋊(C11⋊C8) | 2 |
| #10622096 | 2 |
| C8×C11⋊C8 | 2 |
| #1591 | 11 |