Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
912 conjugacy classes of subgroups; only the 107 normal subgroups are shown.
This group has 912 conjugacy classes of subgroups — too many to draw. Only its 107 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. #19145538 | C2 | semidirect |
| 2. #19145536 | C2 | semidirect |
| 4. #19135571 | C2 | semidirect |
| 5. #19133264 | C2 | semidirect |
| 6. #19132427 | C2 | semidirect |
| 7. C43×#1545 | C2 | semidirect |
| 35. #13063325 | D4 | semidirect |
| 36. #13063325 | D4 | semidirect |
| 54. C4⋊(C43⋊C8) | D4 | semidirect |
| 70. C4⋊C8×C43 | D4 | semidirect |
| 123. C4×Dic43 | SD16 | semidirect |
| 198. #1545 | D43 | semidirect |
| 227. C43 | #10290 | semidirect |
| 265. C4⋊C8 | C22⋊D43 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19145538 | 2 |
| #19145536 | 2 |
| #19142989 | 2 |
| #19135571 | 2 |
| #19133264 | 2 |
| #19132427 | 2 |
| C43×#1545 | 2 |
| #10290 | 43 |