Finite Group DatabasebetaFinite Group DatabasebetaOrder 1408.
324 conjugacy classes of subgroups; only the 105 normal subgroups are shown.
This group has 324 conjugacy classes of subgroups — too many to draw. Only its 105 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. C2×Dic11⋊C8 | C2 | semidirect |
| 5. C2×C4⋊(C11⋊C8) | C2 | semidirect |
| 6. C11×#336 | C2 | semidirect |
| 7. #10622188 | C2 | semidirect |
| 71. C2×C4×C11 | M16 | semidirect |
| 86. C2×Dic11 | M16 | semidirect |
| 101. #336 | D11 | semidirect |
| 182. C11 | #1851 | semidirect |
| 209. C2×C4 | #4313 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×#4313 | 2 |
| C2×(C2×D11)⋊C8 | 2 |
| C2×Dic11⋊C8 | 2 |
| C4×(C2×D11)⋊C4 | 2 |
| C2×C4⋊(C11⋊C8) | 2 |
| C11×#336 | 2 |
| #10622188 | 2 |
| #1851 | 11 |