Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
358 conjugacy classes of subgroups; only the 119 normal subgroups are shown.
This group has 358 conjugacy classes of subgroups — too many to draw. Only its 119 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. #19136368 | C2 | semidirect |
| 5. #19132692 | C2 | semidirect |
| 6. #19132690 | C2 | semidirect |
| 7. C43×#2155 | C2 | semidirect |
| 11. C2×#13063264 | C4 | semidirect |
| 13. C2×C16×D43 | C4 | semidirect |
| 137. #2155 | D43 | semidirect |
| 164. C43 | #12832 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#14583317 | 2 |
| #19136368 | 2 |
| #19134642 | 2 |
| #19134638 | 2 |
| #19132692 | 2 |
| #19132690 | 2 |
| C43×#2155 | 2 |
| #12832 | 43 |