Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
632 conjugacy classes of subgroups; only the 85 normal subgroups are shown.
This group has 632 conjugacy classes of subgroups — too many to draw. Only its 85 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. #19143659 | C2 | semidirect |
| 3. #19136258 | C2 | semidirect |
| 4. #19134559 | C2 | semidirect |
| 5. #19132724 | C2 | semidirect |
| 6. #19132723 | C2 | semidirect |
| 7. C43×#1794 | C2 | semidirect |
| 10. #14583082 | C4 | semidirect |
| 12. #14583072 | C4 | semidirect |
| 260. #1794 | D43 | semidirect |
| 295. C43 | #13054 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19143944 | 2 |
| #19143659 | 2 |
| #19136258 | 2 |
| #19134559 | 2 |
| #19132724 | 2 |
| #19132723 | 2 |
| C43×#1794 | 2 |
| #13054 | 43 |