Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
954 conjugacy classes of subgroups; only the 179 normal subgroups are shown.
This group has 954 conjugacy classes of subgroups — too many to draw. Only its 179 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. #19145978 | C2 | semidirect |
| 3. #19133735 | C2 | semidirect |
| 4. #19133716 | C2 | semidirect |
| 5. #19133673 | C2 | semidirect |
| 6. #19133654 | C2 | semidirect |
| 7. #19133330 | C2 | semidirect |
| 8. #19133050 | C2 | semidirect |
| 9. C43×#3550 | C2 | semidirect |
| 186. #3550 | 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 |
|---|---|
| #19145978 | 2 |
| #19145021 | 2 |
| #19133735 | 2 |
| #19133716 | 2 |
| #19133673 | 2 |
| #19133654 | 2 |
| #19133330 | 2 |
| #19133050 | 2 |
| C43×#3550 | 2 |
| #18688 | 43 |