Finite Group DatabasebetaFinite Group DatabasebetaOrder 2816.
254 conjugacy classes of subgroups; only the 179 normal subgroups are shown.
This group has 254 conjugacy classes of subgroups — too many to draw. Only its 179 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. #13066749 | C2 | direct (N × H) |
| 8. C2×C11×C32 | C4 | semidirect |
| 12. C2×C11⋊C32 | C4 | semidirect |
| 25. C11×C32 | C2×C4 | semidirect |
| 26. C11⋊C32 | C2×C4 | semidirect |
| 62. C2×C32 | Dic11 | semidirect |
| 85. C32 | C2×Dic11 | semidirect |
| 86. C2×C11 | #1397 | semidirect |
| 103. C11 | C2×#1397 | semidirect |
| 122. C2 | #13066749 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×C11⋊C32 | 2 |
| C2×C16×Dic11 | 2 |
| #13066749 | 2 |
| C22×C11×C32 | 2 |
| C2×#1397 | 11 |