Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
386 conjugacy classes of subgroups; only the 77 normal subgroups are shown.
This group has 386 conjugacy classes of subgroups — too many to draw. Only its 77 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 |
|---|---|---|
| 2. #19134748 | C2 | semidirect |
| 4. #19133107 | C2 | semidirect |
| 6. #19132464 | C2 | semidirect |
| 7. C43×#1552 | C2 | semidirect |
| 155. #1552 | D43 | semidirect |
| 184. C43 | #10514 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19145907 | 2 |
| #19134748 | 2 |
| #19133288 | 2 |
| #19133107 | 2 |
| #19133104 | 2 |
| #19132464 | 2 |
| C43×#1552 | 2 |
| #10514 | 43 |