Finite Group DatabasebetaFinite Group DatabasebetaOrder 2816.
232 conjugacy classes of subgroups; only the 99 normal subgroups are shown.
This group has 232 conjugacy classes of subgroups — too many to draw. Only its 99 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 |
|---|---|---|
| 4. #13066686 | C2 | semidirect |
| 5. #13066685 | C2 | semidirect |
| 6. #13066679 | C2 | semidirect |
| 7. C11×#1367 | C2 | semidirect |
| 78. #1367 | D11 | semidirect |
| 94. C8×C11 | M32 | semidirect |
| 101. C11⋊C8 | M32 | semidirect |
| 181. C11 | #12017 | semidirect |
| 202. C8 | #66862 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13070418 | 2 |
| #13070370 | 2 |
| C8×#4313 | 2 |
| #13066686 | 2 |
| #13066685 | 2 |
| #13066679 | 2 |
| C11×#1367 | 2 |
| #12017 | 11 |