Finite Group DatabasebetaFinite Group DatabasebetaOrder 2816.
454 conjugacy classes of subgroups; only the 97 normal subgroups are shown.
This group has 454 conjugacy classes of subgroups — too many to draw. Only its 97 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. #13070365 | C2 | semidirect |
| 2. C2×#10622201 | C2 | semidirect |
| 3. C2×#10622201 | C2 | semidirect |
| 4. #13070344 | C2 | semidirect |
| 5. #13069406 | C2 | semidirect |
| 6. #13066702 | C2 | semidirect |
| 61. #66883 | D4 | semidirect |
| 292. C11 | #13417 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13070365 | 2 |
| C2×#10622201 | 2 |
| #13070344 | 2 |
| #13069406 | 2 |
| #13066702 | 2 |
| C11×#3155 | 2 |
| #13417 | 11 |