Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
536 conjugacy classes of subgroups; only the 103 normal subgroups are shown.
This group has 536 conjugacy classes of subgroups — too many to draw. Only its 103 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. #19134583 | C2 | semidirect |
| 2. #19132913 | C2 | semidirect |
| 3. #19132595 | C2 | semidirect |
| 4. #19132592 | C2 | semidirect |
| 13. C2×C4×D4×C43 | C4 | semidirect |
| 15. C43×#397 | C4 | semidirect |
| 17. C43×#392 | C4 | semidirect |
| 21. C43×#382 | C4 | semidirect |
| 218. C2×C4×D4 | Dic43 | semidirect |
| 222. #397 | Dic43 | semidirect |
| 224. #392 | Dic43 | semidirect |
| 228. #382 | Dic43 | semidirect |
| 234. C43 | #11875 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19134583 | 2 |
| #19132913 | 2 |
| #19132595 | 2 |
| #19132592 | 2 |
| C43×#2535 | 2 |
| #11875 | 43 |