Finite Group DatabasebetaFinite Group DatabasebetaOrder 2816.
1422 conjugacy classes of subgroups; only the 451 normal subgroups are shown.
This group has 1422 conjugacy classes of subgroups — too many to draw. Only its 451 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 |
|---|---|---|
| 8. C11×#383 | C4 | semidirect |
| 42. C42×C11 | C4⋊C4 | semidirect |
| 70. #383 | Dic11 | semidirect |
| 118. C42 | C4⋊Dic11 | semidirect |
| 119. C11 | #14710 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#10622550 | 2 |
| C2×C42×Dic11 | 2 |
| #13066850 | 2 |
| C2×C11×#383 | 2 |
| #14710 | 11 |