Finite Group DatabasebetaFinite Group DatabasebetaOrder 1408.
336 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 336 conjugacy classes of subgroups — too many to draw. Only its 125 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 |
|---|---|---|
| 4. C2×#66871 | C2 | semidirect |
| 5. #10622167 | C2 | semidirect |
| 12. C22×C11⋊C8 | C4 | semidirect |
| 61. C11⋊C8 | C22⋊C4 | semidirect |
| 71. C22×C11 | #107 | semidirect |
| 121. C11 | #1808 | semidirect |
| 149. C22 | #66871 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C23×C11⋊C8 | 2 |
| C11×#380 | 2 |
| #10622825 | 2 |
| C2×#66871 | 2 |
| #10622167 | 2 |
| #1808 | 11 |