Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
378 conjugacy classes of subgroups; only the 109 normal subgroups are shown.
This group has 378 conjugacy classes of subgroups — too many to draw. Only its 109 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 |
|---|---|---|
| 2. #19136390 | C2 | semidirect |
| 3. C2×#14582728 | C2 | semidirect |
| 6. #19132690 | C2 | semidirect |
| 7. C43×#1389 | C2 | semidirect |
| 19. #14582684 | C4 | semidirect |
| 138. #1389 | D43 | semidirect |
| 161. C43 | #12927 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19143203 | 2 |
| #19136390 | 2 |
| C2×#14582728 | 2 |
| C2×#14582684 | 2 |
| #19134646 | 2 |
| #19132690 | 2 |
| C43×#1389 | 2 |
| #12927 | 43 |