Finite Group DatabasebetaFinite Group DatabasebetaOrder 2816.
376 conjugacy classes of subgroups; only the 105 normal subgroups are shown.
This group has 376 conjugacy classes of subgroups — too many to draw. Only its 105 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. C4×C4⋊(C11⋊C8) | C2 | semidirect |
| 2. #13067392 | C2 | semidirect |
| 5. #13066511 | C2 | semidirect |
| 6. #13066449 | C2 | semidirect |
| 18. #10622185 | C4 | semidirect |
| 19. #10622182 | C4 | semidirect |
| 249. C11 | #9577 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C4×C4⋊(C11⋊C8) | 2 |
| #13067392 | 2 |
| #13067265 | 2 |
| #13067015 | 2 |
| #13066511 | 2 |
| #13066449 | 2 |
| C11×#1962 | 2 |
| #9577 | 11 |