Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
954 conjugacy classes of subgroups; only the 163 normal subgroups are shown.
This group has 954 conjugacy classes of subgroups — too many to draw. Only its 163 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. #19149009 | C2 | semidirect |
| 2. #19145983 | C2 | semidirect |
| 4. #19133736 | C2 | semidirect |
| 5. #19133717 | C2 | semidirect |
| 6. #19133674 | C2 | semidirect |
| 7. #19133655 | C2 | semidirect |
| 8. #19133049 | C2 | semidirect |
| 9. C43×#1560 | C2 | semidirect |
| 193. #1560 | D43 | semidirect |
| 227. C43 | #18688 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19149009 | 2 |
| #19145983 | 2 |
| #19145021 | 2 |
| #19133736 | 2 |
| #19133717 | 2 |
| #19133674 | 2 |
| #19133655 | 2 |
| #19133049 | 2 |
| C43×#1560 | 2 |
| #18688 | 43 |