Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
1068 conjugacy classes of subgroups; only the 163 normal subgroups are shown.
This group has 1068 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. C2×#14583635 | C2 | semidirect |
| 3. #19144718 | C2 | semidirect |
| 4. #19133717 | C2 | semidirect |
| 5. #19133655 | C2 | semidirect |
| 6. #19133041 | C2 | semidirect |
| 7. C43×#1555 | C2 | semidirect |
| 21. #14583195 | C22 | semidirect |
| 22. #14583100 | C22 | semidirect |
| 26. #14582629 | C22 | semidirect |
| 165. #1555 | D43 | semidirect |
| 194. C43 | #18526 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#14583635 | 2 |
| #19145045 | 2 |
| #19144718 | 2 |
| #19133717 | 2 |
| #19133655 | 2 |
| #19133041 | 2 |
| C43×#1555 | 2 |
| #18526 | 43 |