Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
314 conjugacy classes of subgroups; only the 61 normal subgroups are shown.
This group has 314 conjugacy classes of subgroups — too many to draw. Only its 61 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. #19147202 | C2 | semidirect |
| 2. #19136837 | C2 | semidirect |
| 3. #19136630 | C2 | semidirect |
| 4. #19134075 | C2 | semidirect |
| 5. #19132648 | C2 | semidirect |
| 6. #19132554 | C2 | semidirect |
| 7. C43×#1333 | C2 | semidirect |
| 152. #1333 | D43 | semidirect |
| 179. C43 | #12348 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19147202 | 2 |
| #19136837 | 2 |
| #19136630 | 2 |
| #19134075 | 2 |
| #19132648 | 2 |
| #19132554 | 2 |
| C43×#1333 | 2 |
| #12348 | 43 |