Finite Group DatabasebetaFinite Group DatabasebetaOrder 2816.
224 conjugacy classes of subgroups; only the 69 normal subgroups are shown.
This group has 224 conjugacy classes of subgroups — too many to draw. Only its 69 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. #13070891 | C2 | semidirect |
| 4. #13066672 | C2 | semidirect |
| 5. C11×#1371 | C2 | semidirect |
| 49. C11×C16 | SD16 | semidirect |
| 54. #1371 | D11 | semidirect |
| 131. C16 | #4314 | semidirect |
| 132. C11 | #12451 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13070891 | 2 |
| C16×D44 | 2 |
| #13068006 | 2 |
| #13066672 | 2 |
| C11×#1371 | 2 |
| #12451 | 11 |