Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
172 conjugacy classes of subgroups; only the 55 normal subgroups are shown.
This group has 172 conjugacy classes of subgroups — too many to draw. Only its 55 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. #19136871 | C2 | semidirect |
| 5. #19132670 | C2 | semidirect |
| 6. #19132657 | C2 | semidirect |
| 7. C43×#1366 | C2 | semidirect |
| 89. #1366 | D43 | semidirect |
| 108. C43 | #12463 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19136871 | 2 |
| #19136772 | 2 |
| #19136768 | 2 |
| #19136431 | 2 |
| #19132670 | 2 |
| #19132657 | 2 |
| C43×#1366 | 2 |
| #12463 | 43 |