Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
360 conjugacy classes of subgroups; only the 101 normal subgroups are shown.
This group has 360 conjugacy classes of subgroups — too many to draw. Only its 101 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. #19136381 | C2 | semidirect |
| 4. #19134474 | C2 | semidirect |
| 5. #19132703 | C2 | semidirect |
| 6. #19132677 | C2 | semidirect |
| 15. #14582712 | C4 | semidirect |
| 173. C43 | #13136 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19136381 | 2 |
| C2×#14582712 | 2 |
| #19136311 | 2 |
| #19134474 | 2 |
| #19132703 | 2 |
| #19132677 | 2 |
| C43×#1970 | 2 |
| #13136 | 43 |