Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
514 conjugacy classes of subgroups; only the 151 normal subgroups are shown.
This group has 514 conjugacy classes of subgroups — too many to draw. Only its 151 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. #19136868 | C2 | semidirect |
| 4. #19136847 | C2 | semidirect |
| 5. #19136823 | C2 | semidirect |
| 7. #19136451 | C2 | semidirect |
| 9. C43×#2241 | C2 | semidirect |
| 130. C4×D43 | Q32 | semidirect |
| 159. #2241 | D43 | semidirect |
| 192. C43 | #33734 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19145182 | 2 |
| #19145179 | 2 |
| #19136868 | 2 |
| #19136847 | 2 |
| #19136823 | 2 |
| #19136685 | 2 |
| #19136451 | 2 |
| C4×C16×D43 | 2 |
| C43×#2241 | 2 |
| #33734 | 43 |