Finite Group DatabasebetaFinite Group DatabasebetaOrder 2816.
302 conjugacy classes of subgroups; only the 61 normal subgroups are shown.
This group has 302 conjugacy classes of subgroups — too many to draw. Only its 61 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. #13081192 | C2 | semidirect |
| 2. #13070858 | C2 | semidirect |
| 3. #13070656 | C2 | semidirect |
| 5. #13066669 | C2 | semidirect |
| 6. #13066575 | C2 | semidirect |
| 7. C11×#1334 | C2 | semidirect |
| 105. #1334 | D11 | semidirect |
| 245. C11 | #12349 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13081192 | 2 |
| #13070858 | 2 |
| #13070656 | 2 |
| #13068096 | 2 |
| #13066669 | 2 |
| #13066575 | 2 |
| C11×#1334 | 2 |
| #12349 | 11 |