Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
510 conjugacy classes of subgroups; only the 99 normal subgroups are shown.
This group has 510 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 |
|---|---|---|
| 2. #19134631 | C2 | semidirect |
| 3. #19134373 | C2 | semidirect |
| 4. #19133114 | C2 | semidirect |
| 5. #19132960 | C2 | semidirect |
| 8. C22×#10621883 | C4 | semidirect |
| 16. C2×#13063256 | C4 | semidirect |
| 17. C2×#13063248 | C4 | semidirect |
| 18. C2×#13063246 | C4 | semidirect |
| 246. C43 | #9816 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#14583126 | 2 |
| #19134631 | 2 |
| #19134373 | 2 |
| #19133114 | 2 |
| #19132960 | 2 |
| #19132955 | 2 |
| C43×#1507 | 2 |
| #9816 | 43 |