Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
390 conjugacy classes of subgroups; only the 63 normal subgroups are shown.
This group has 390 conjugacy classes of subgroups — too many to draw. Only its 63 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 |
|---|---|---|
| 1. #19145936 | C2 | semidirect |
| 5. #19132606 | C2 | semidirect |
| 6. #19132534 | C2 | semidirect |
| 7. C43×#1348 | C2 | semidirect |
| 136. C2×Dic43 | SD32 | semidirect |
| 175. #1348 | D43 | semidirect |
| 202. C43 | #12159 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19145936 | 2 |
| #19136526 | 2 |
| #19136523 | 2 |
| #19135907 | 2 |
| #19132606 | 2 |
| #19132534 | 2 |
| C43×#1348 | 2 |
| #12159 | 43 |