Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
320 conjugacy classes of subgroups; only the 75 normal subgroups are shown.
This group has 320 conjugacy classes of subgroups — too many to draw. Only its 75 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. #19136284 | C2 | semidirect |
| 2. #19136270 | C2 | semidirect |
| 3. #19132770 | C2 | semidirect |
| 4. #19132752 | C2 | semidirect |
| 12. C43×#540 | C4 | semidirect |
| 15. C43×#492 | C4 | semidirect |
| 16. C43×#491 | C4 | semidirect |
| 22. C43×#433 | C4 | semidirect |
| 154. #540 | Dic43 | semidirect |
| 157. #492 | Dic43 | semidirect |
| 158. #491 | Dic43 | semidirect |
| 164. #433 | Dic43 | semidirect |
| 171. C43 | #13606 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19136284 | 2 |
| #19136270 | 2 |
| #19132770 | 2 |
| #19132752 | 2 |
| C43×#3221 | 2 |
| #13606 | 43 |