Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
520 conjugacy classes of subgroups; only the 99 normal subgroups are shown.
This group has 520 conjugacy classes of subgroups — too many to draw. Only its 99 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. C22×Dic344 | C2 | semidirect |
| 4. C2×#14582714 | C2 | semidirect |
| 5. #19136314 | C2 | semidirect |
| 7. C43×#1382 | C2 | semidirect |
| 190. #1382 | D43 | semidirect |
| 217. C43 | #13322 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×Dic344 | 2 |
| C2×#14583175 | 2 |
| #19144251 | 2 |
| C2×#14582714 | 2 |
| #19136314 | 2 |
| C2×#14582682 | 2 |
| C43×#1382 | 2 |
| #13322 | 43 |