Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
188 conjugacy classes of subgroups; only the 57 normal subgroups are shown.
This group has 188 conjugacy classes of subgroups — too many to draw. Only its 57 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. C2×#14582734 | C2 | semidirect |
| 2. #19136889 | C2 | semidirect |
| 3. #19136715 | C2 | semidirect |
| 4. #19132798 | C2 | semidirect |
| 5. #19132785 | C2 | semidirect |
| 6. #19132784 | C2 | semidirect |
| 7. C43×#2221 | C2 | semidirect |
| 92. #2221 | D43 | semidirect |
| 116. C43 | #13700 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#14582734 | 2 |
| #19136889 | 2 |
| #19136715 | 2 |
| #19132798 | 2 |
| #19132785 | 2 |
| #19132784 | 2 |
| C43×#2221 | 2 |
| #13700 | 43 |