Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
402 conjugacy classes of subgroups; only the 109 normal subgroups are shown.
This group has 402 conjugacy classes of subgroups — too many to draw. Only its 109 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. C2×#14582726 | C2 | semidirect |
| 5. #19132705 | C2 | semidirect |
| 6. #19132684 | C2 | semidirect |
| 7. C43×#1952 | C2 | semidirect |
| 18. #14582705 | C4 | semidirect |
| 45. C2×C43⋊C16 | C2×C4 | semidirect |
| 56. #108×C43 | C2×C4 | semidirect |
| 158. #1952 | D43 | semidirect |
| 185. C43 | #12946 | semidirect |
| 212. #108 | C4×D43 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19143472 | 2 |
| C2×#14582726 | 2 |
| C2×#14582705 | 2 |
| #19136305 | 2 |
| #19132705 | 2 |
| #19132684 | 2 |
| C43×#1952 | 2 |
| #12946 | 43 |