Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
644 conjugacy classes of subgroups; only the 107 normal subgroups are shown.
This group has 644 conjugacy classes of subgroups — too many to draw. Only its 107 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. #19134583 | C2 | semidirect |
| 2. #19132913 | C2 | semidirect |
| 3. #19132592 | C2 | semidirect |
| 12. C2×#127×C43 | C4 | semidirect |
| 16. C43×#392 | C4 | semidirect |
| 19. C4×C4⋊C4×C43 | C4 | semidirect |
| 200. C2×#127 | Dic43 | semidirect |
| 206. #392 | Dic43 | semidirect |
| 210. C4×C4⋊C4 | Dic43 | semidirect |
| 214. C43 | #11877 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19134583 | 2 |
| #19132913 | 2 |
| #19132592 | 2 |
| C43×#2541 | 2 |
| #11877 | 43 |