Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
480 conjugacy classes of subgroups; only the 63 normal subgroups are shown.
This group has 480 conjugacy classes of subgroups — too many to draw. Only its 63 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. #19145388 | C2 | semidirect |
| 2. #19136526 | C2 | semidirect |
| 3. #19136509 | C2 | semidirect |
| 4. #19135593 | C2 | semidirect |
| 5. #19132608 | C2 | semidirect |
| 6. #19132605 | C2 | semidirect |
| 7. C43×#1314 | C2 | semidirect |
| 30. C2×Dic172 | D4 | semidirect |
| 35. C2×D344 | D4 | semidirect |
| 51. #13063259 | D4 | semidirect |
| 52. #13063259 | D4 | semidirect |
| 200. #1314 | D43 | semidirect |
| 228. C43 | #12104 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19145388 | 2 |
| #19136526 | 2 |
| #19136509 | 2 |
| #19135593 | 2 |
| #19132608 | 2 |
| #19132605 | 2 |
| C43×#1314 | 2 |
| #12104 | 43 |