Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
350 conjugacy classes of subgroups; only the 103 normal subgroups are shown.
This group has 350 conjugacy classes of subgroups — too many to draw. Only its 103 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. C2×#14582652 | C2 | semidirect |
| 3. #19132652 | C2 | semidirect |
| 4. #19132642 | C2 | semidirect |
| 5. C43×#2163 | C2 | semidirect |
| 120. #2163 | D43 | semidirect |
| 144. C43 | #11952 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19145174 | 2 |
| C2×#14582652 | 2 |
| #19132652 | 2 |
| #19132642 | 2 |
| C43×#2163 | 2 |
| #11952 | 43 |