Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
194 conjugacy classes of subgroups; only the 57 normal subgroups are shown.
This group has 194 conjugacy classes of subgroups — too many to draw. Only its 57 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. #19136872 | C2 | semidirect |
| 3. #19132774 | C2 | semidirect |
| 4. #19132773 | C2 | semidirect |
| 5. #19132772 | C2 | semidirect |
| 6. #19132728 | C2 | semidirect |
| 7. C43×#1415 | C2 | semidirect |
| 91. #1415 | D43 | semidirect |
| 109. C43 | #13723 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19136872 | 2 |
| #19136843 | 2 |
| #19132774 | 2 |
| #19132773 | 2 |
| #19132772 | 2 |
| #19132728 | 2 |
| C43×#1415 | 2 |
| #13723 | 43 |