Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
276 conjugacy classes of subgroups; only the 105 normal subgroups are shown.
This group has 276 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 |
|---|---|---|
| 19. C43×#367 | C4 | semidirect |
| 20. C43×#366 | C4 | semidirect |
| 137. #367 | Dic43 | semidirect |
| 138. #366 | Dic43 | semidirect |
| 141. C43 | #13119 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19135349 | 2 |
| #19134494 | 2 |
| #19132703 | 2 |
| #19132700 | 2 |
| #19132694 | 2 |
| #19132674 | 2 |
| C43×#2159 | 2 |
| #13119 | 43 |