Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
412 conjugacy classes of subgroups; only the 123 normal subgroups are shown.
This group has 412 conjugacy classes of subgroups — too many to draw. Only its 123 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 |
|---|---|---|
| 4. C2×#14582676 | C2 | semidirect |
| 5. #19134503 | C2 | semidirect |
| 6. #19132708 | C2 | semidirect |
| 7. C43×#1385 | C2 | semidirect |
| 17. #14582714 | C4 | semidirect |
| 18. #14582711 | C4 | semidirect |
| 19. #14582707 | C4 | semidirect |
| 146. #1385 | D43 | semidirect |
| 169. C43 | #12651 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#14583020 | 2 |
| #19136342 | 2 |
| #19136324 | 2 |
| C2×#14582676 | 2 |
| #19134503 | 2 |
| #19132708 | 2 |
| C43×#1385 | 2 |
| #12651 | 43 |