Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
376 conjugacy classes of subgroups; only the 87 normal subgroups are shown.
This group has 376 conjugacy classes of subgroups — too many to draw. Only its 87 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×C4⋊(C43⋊C8) | C4 | semidirect |
| 8. C2×C4×C43⋊C8 | C4 | semidirect |
| 10. #14582666 | C4 | semidirect |
| 14. C43×#342 | C4 | semidirect |
| 179. #342 | Dic43 | semidirect |
| 180. C43 | #7237 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19135390 | 2 |
| #19134583 | 2 |
| C43×#1799 | 2 |
| #7237 | 43 |