Finite Group DatabasebetaFinite Group DatabasebetaOrder 2816.
260 conjugacy classes of subgroups; only the 75 normal subgroups are shown.
This group has 260 conjugacy classes of subgroups — too many to draw. Only its 75 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. #13070898 | C2 | semidirect |
| 2. #13070889 | C2 | semidirect |
| 4. #13068225 | C2 | semidirect |
| 6. #13066535 | C2 | semidirect |
| 165. C11 | #12536 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13070898 | 2 |
| #13070889 | 2 |
| #13070839 | 2 |
| #13068225 | 2 |
| #13068205 | 2 |
| #13066535 | 2 |
| C11×#2240 | 2 |
| #12536 | 11 |