Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
304 conjugacy classes of subgroups; only the 91 normal subgroups are shown.
This group has 304 conjugacy classes of subgroups — too many to draw. Only its 91 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. #19136368 | C2 | semidirect |
| 5. #19135385 | C2 | semidirect |
| 6. #19132691 | C2 | semidirect |
| 7. C43×#2151 | C2 | semidirect |
| 133. #2151 | D43 | semidirect |
| 159. C43 | #13468 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19136368 | 2 |
| #19136324 | 2 |
| C2×#14582707 | 2 |
| #19135493 | 2 |
| #19135385 | 2 |
| #19132691 | 2 |
| C43×#2151 | 2 |
| #13468 | 43 |