Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
1054 conjugacy classes of subgroups; only the 167 normal subgroups are shown.
This group has 1054 conjugacy classes of subgroups — too many to draw. Only its 167 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. #19135390 | C2 | semidirect |
| 2. #19134587 | C2 | semidirect |
| 3. #19133272 | C2 | semidirect |
| 4. #19133046 | C2 | semidirect |
| 6. #14582923 | C22 | semidirect |
| 7. C2×C4⋊(C43⋊C8) | C22 | semidirect |
| 10. C2×C4×C43⋊C8 | C22 | semidirect |
| 215. C43 | #8353 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19135390 | 2 |
| #19134587 | 2 |
| #19133272 | 2 |
| #19133046 | 2 |
| C43×#3496 | 2 |
| #8353 | 43 |