Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
388 conjugacy classes of subgroups; only the 71 normal subgroups are shown.
This group has 388 conjugacy classes of subgroups — too many to draw. Only its 71 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 |
|---|---|---|
| 3. #19132765 | C2 | semidirect |
| 5. #14583456 | C4 | semidirect |
| 6. #14583263 | C4 | semidirect |
| 13. C4×#10621877 | C4 | semidirect |
| 22. #13063317 | C2×C4 | semidirect |
| 33. #13063236 | C2×C4 | semidirect |
| 170. C43 | #13595 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19144969 | 2 |
| C2×#14582692 | 2 |
| #19132765 | 2 |
| C2×C43×#353 | 2 |
| #13595 | 43 |