Finite Group DatabasebetaFinite Group DatabasebetaOrder 2816.
248 conjugacy classes of subgroups; only the 67 normal subgroups are shown.
This group has 248 conjugacy classes of subgroups — too many to draw. Only its 67 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 |
|---|---|---|
| 1. #13066445 | C2 | semidirect |
| 10. C11×C4⋊Q8 | C8 | semidirect |
| 11. C11×#127 | C8 | semidirect |
| 89. C4⋊Q8 | C11⋊C8 | semidirect |
| 90. #127 | C11⋊C8 | semidirect |
| 128. C11 | #7115 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13066445 | 2 |
| C11×#1963 | 2 |
| #7115 | 11 |