Finite Group DatabasebetaFinite Group DatabasebetaOrder 1408.
784 conjugacy classes of subgroups; only the 309 normal subgroups are shown.
This group has 784 conjugacy classes of subgroups — too many to draw. Only its 309 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 |
|---|---|---|
| 3. #10622843 | C2 | semidirect |
| 6. C22×Q8×C11 | C4 | semidirect |
| 59. C22×Q8 | Dic11 | semidirect |
| 87. C11 | #2310 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C23×Q8×C11 | 2 |
| C2×#66979 | 2 |
| #10622843 | 2 |
| #10622824 | 2 |
| #2310 | 11 |