Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
398 conjugacy classes of subgroups; only the 73 normal subgroups are shown.
This group has 398 conjugacy classes of subgroups — too many to draw. Only its 73 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. #19140244 | C2 | semidirect |
| 5. #19132489 | C2 | semidirect |
| 6. #19132452 | C2 | semidirect |
| 7. C43×#1288 | C2 | semidirect |
| 29. #13063325 | Q8 | semidirect |
| 30. #13063322 | Q8 | semidirect |
| 181. #1288 | D43 | semidirect |
| 208. C43 | #10378 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19140244 | 2 |
| #19135514 | 2 |
| #19133141 | 2 |
| #19133104 | 2 |
| #19132489 | 2 |
| #19132452 | 2 |
| C43×#1288 | 2 |
| #10378 | 43 |