Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
414 conjugacy classes of subgroups; only the 107 normal subgroups are shown.
This group has 414 conjugacy classes of subgroups — too many to draw. Only its 107 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. #19136322 | C2 | semidirect |
| 3. #19136310 | C2 | semidirect |
| 4. #19136199 | C2 | semidirect |
| 5. #19135503 | C2 | semidirect |
| 6. #19135491 | C2 | semidirect |
| 7. C43×#2155 | C2 | semidirect |
| 12. C2×#13063270 | C4 | semidirect |
| 13. C2×D688 | C4 | semidirect |
| 163. #2155 | D43 | semidirect |
| 194. C43 | #13247 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#14583337 | 2 |
| #19136322 | 2 |
| #19136310 | 2 |
| #19136199 | 2 |
| #19135503 | 2 |
| #19135491 | 2 |
| C43×#2155 | 2 |
| #13247 | 43 |