Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
398 conjugacy classes of subgroups; only the 55 normal subgroups are shown.
This group has 398 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. #19142428 | C2 | semidirect |
| 2. #19135820 | C2 | semidirect |
| 3. #19133634 | C2 | semidirect |
| 5. #19132621 | C2 | semidirect |
| 6. #19132540 | C2 | semidirect |
| 7. C43×#1345 | C2 | semidirect |
| 189. #1345 | D43 | semidirect |
| 217. C43 | #12144 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19142428 | 2 |
| #19135820 | 2 |
| #19133634 | 2 |
| #19133529 | 2 |
| #19132621 | 2 |
| #19132540 | 2 |
| C43×#1345 | 2 |
| #12144 | 43 |