Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
348 conjugacy classes of subgroups; only the 61 normal subgroups are shown.
This group has 348 conjugacy classes of subgroups — too many to draw. Only its 61 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. #19136775 | C2 | semidirect |
| 3. #19136019 | C2 | semidirect |
| 4. #19132607 | C2 | semidirect |
| 5. #19132605 | C2 | semidirect |
| 6. #19132518 | C2 | semidirect |
| 7. C43×#2235 | C2 | semidirect |
| 163. #2235 | D43 | semidirect |
| 195. C43 | #12280 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19145389 | 2 |
| #19136775 | 2 |
| #19136019 | 2 |
| #19132607 | 2 |
| #19132605 | 2 |
| #19132518 | 2 |
| C43×#2235 | 2 |
| #12280 | 43 |