Finite Group DatabasebetaFinite Group DatabasebetaOrder 2816.
262 conjugacy classes of subgroups; only the 119 normal subgroups are shown.
This group has 262 conjugacy classes of subgroups — too many to draw. Only its 119 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 |
|---|---|---|
| 10. C4×C11×C16 | C4 | semidirect |
| 13. #10622095 | C4 | semidirect |
| 28. #66881 | C8 | semidirect |
| 81. C4×C16 | Dic11 | semidirect |
| 138. C11 | #7174 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C4×#66881 | 2 |
| #13067364 | 2 |
| C4×C11×M32 | 2 |
| #7174 | 11 |