Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
312 conjugacy classes of subgroups; only the 103 normal subgroups are shown.
This group has 312 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. #19136194 | C2 | semidirect |
| 4. #19135386 | C2 | semidirect |
| 5. #19132710 | C2 | semidirect |
| 6. #19132692 | C2 | semidirect |
| 23. C43×#362 | C4 | semidirect |
| 24. C43×#361 | C4 | semidirect |
| 158. #362 | Dic43 | semidirect |
| 159. #361 | Dic43 | semidirect |
| 165. C43 | #13146 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#14582706 | 2 |
| #19136194 | 2 |
| #19135494 | 2 |
| #19135386 | 2 |
| #19132710 | 2 |
| #19132692 | 2 |
| C43×#2148 | 2 |
| #13146 | 43 |