Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
656 conjugacy classes of subgroups; only the 227 normal subgroups are shown.
This group has 656 conjugacy classes of subgroups — too many to draw. Only its 227 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. #19135159 | C2 | semidirect |
| 4. #19134740 | C2 | semidirect |
| 5. #19134469 | C2 | semidirect |
| 7. C43×#1726 | C2 | semidirect |
| 119. #1726 | D43 | semidirect |
| 141. C43 | #21670 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19137893 | 2 |
| #19135208 | 2 |
| #19135159 | 2 |
| #19134740 | 2 |
| #19134469 | 2 |
| #19134378 | 2 |
| C43×#1726 | 2 |
| #21670 | 43 |