Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
346 conjugacy classes of subgroups; only the 53 normal subgroups are shown.
This group has 346 conjugacy classes of subgroups — too many to draw. Only its 53 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. #19145997 | C2 | semidirect |
| 3. #19135879 | C2 | semidirect |
| 4. #19132589 | C2 | semidirect |
| 5. #19132587 | C2 | semidirect |
| 6. #19132545 | C2 | semidirect |
| 7. C43×#2191 | C2 | semidirect |
| 167. #2191 | D43 | semidirect |
| 197. C43 | #12175 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19145997 | 2 |
| #19136541 | 2 |
| #19135879 | 2 |
| #19132589 | 2 |
| #19132587 | 2 |
| #19132545 | 2 |
| C43×#2191 | 2 |
| #12175 | 43 |