Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
362 conjugacy classes of subgroups; only the 103 normal subgroups are shown.
This group has 362 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. #19133358 | C2 | semidirect |
| 3. #19132563 | C2 | semidirect |
| 4. C2×C43×#346 | C2 | semidirect |
| 116. C2×#346 | D43 | semidirect |
| 139. C43 | #11678 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19145174 | 2 |
| #19133358 | 2 |
| #19132563 | 2 |
| C2×C43×#346 | 2 |
| #11678 | 43 |