Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
462 conjugacy classes of subgroups; only the 75 normal subgroups are shown.
This group has 462 conjugacy classes of subgroups — too many to draw. Only its 75 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 |
|---|---|---|
| 2. C2×#14582697 | C2 | semidirect |
| 4. #19134986 | C2 | semidirect |
| 5. #19134812 | C2 | semidirect |
| 6. #19132721 | C2 | semidirect |
| 247. C43 | #13427 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19141603 | 2 |
| C2×#14582697 | 2 |
| #19134999 | 2 |
| #19134986 | 2 |
| #19134812 | 2 |
| #19132721 | 2 |
| C2×C43×#355 | 2 |
| #13427 | 43 |