Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
360 conjugacy classes of subgroups; only the 97 normal subgroups are shown.
This group has 360 conjugacy classes of subgroups — too many to draw. Only its 97 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. #19132702 | C2 | semidirect |
| 5. #19132696 | C2 | semidirect |
| 6. #19132681 | C2 | semidirect |
| 7. C43×#3163 | C2 | semidirect |
| 30. C2×Dic172 | Q8 | semidirect |
| 32. C2×D344 | Q8 | semidirect |
| 152. #3163 | D43 | semidirect |
| 181. C43 | #13374 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19136330 | 2 |
| C2×#14582708 | 2 |
| #19135493 | 2 |
| #19132702 | 2 |
| #19132696 | 2 |
| #19132681 | 2 |
| C43×#3163 | 2 |
| #13374 | 43 |