Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
246 conjugacy classes of subgroups; only the 63 normal subgroups are shown.
This group has 246 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. #19136852 | C2 | semidirect |
| 2. #19136426 | C2 | semidirect |
| 3. #19133957 | C2 | semidirect |
| 5. #19132666 | C2 | semidirect |
| 6. #19132642 | C2 | semidirect |
| 7. C43×#1362 | C2 | semidirect |
| 73. C43⋊C16 | D8 | semidirect |
| 118. #1362 | D43 | semidirect |
| 140. C43 | #12435 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19136852 | 2 |
| #19136426 | 2 |
| #19133957 | 2 |
| #19133951 | 2 |
| #19132666 | 2 |
| #19132642 | 2 |
| C43×#1362 | 2 |
| #12435 | 43 |