Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
378 conjugacy classes of subgroups; only the 111 normal subgroups are shown.
This group has 378 conjugacy classes of subgroups — too many to draw. Only its 111 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. #19136354 | C2 | semidirect |
| 5. #19132708 | C2 | semidirect |
| 6. #19132690 | C2 | semidirect |
| 7. C43×#1833 | C2 | semidirect |
| 12. #14583022 | C4 | semidirect |
| 140. #1833 | D43 | semidirect |
| 164. C43 | #12830 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19143513 | 2 |
| #19136354 | 2 |
| #19136330 | 2 |
| C2×#14582705 | 2 |
| #19132708 | 2 |
| #19132690 | 2 |
| C43×#1833 | 2 |
| #12830 | 43 |