Finite Group DatabasebetaFinite Group DatabasebetaOrder 2816.
172 conjugacy classes of subgroups; only the 59 normal subgroups are shown.
This group has 172 conjugacy classes of subgroups — too many to draw. Only its 59 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. #13070892 | C2 | semidirect |
| 4. #13066691 | C2 | semidirect |
| 5. #13066677 | C2 | semidirect |
| 6. #13066676 | C2 | semidirect |
| 146. C11 | #12463 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13070892 | 2 |
| #13070792 | 2 |
| #13070453 | 2 |
| #13066691 | 2 |
| #13066677 | 2 |
| #13066676 | 2 |
| C11×#2231 | 2 |
| #12463 | 11 |