Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
1046 conjugacy classes of subgroups; only the 111 normal subgroups are shown.
This group has 1046 conjugacy classes of subgroups — too many to draw. Only its 111 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. C2×#14583050 | C2 | semidirect |
| 3. #19140523 | C2 | semidirect |
| 4. C2×#14582635 | C2 | semidirect |
| 5. C2×#14582632 | C2 | semidirect |
| 6. #19132438 | C2 | semidirect |
| 7. C43×#1438 | C2 | semidirect |
| 274. #1438 | D43 | semidirect |
| 309. C43 | #9963 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#14583050 | 2 |
| C2×#14583033 | 2 |
| #19140523 | 2 |
| C2×#14582635 | 2 |
| C2×#14582632 | 2 |
| #19132438 | 2 |
| C43×#1438 | 2 |
| #9963 | 43 |