Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
294 conjugacy classes of subgroups; only the 63 normal subgroups are shown.
This group has 294 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. #19136907 | C2 | semidirect |
| 2. #19136698 | C2 | semidirect |
| 3. #19132782 | C2 | semidirect |
| 4. #19132735 | C2 | semidirect |
| 5. C43×#3414 | C2 | semidirect |
| 6. C2×D688 | C22 | semidirect |
| 10. #14582733 | C22 | semidirect |
| 11. #14582727 | C22 | semidirect |
| 35. Q32×C43 | D4 | semidirect |
| 39. D16×C43 | D4 | semidirect |
| 107. #3414 | D43 | semidirect |
| 130. C43 | #13667 | semidirect |
| 143. Q32 | C22⋊D43 | semidirect |
| 148. D16 | C22⋊D43 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19136907 | 2 |
| #19136698 | 2 |
| #19132782 | 2 |
| #19132735 | 2 |
| C43×#3414 | 2 |
| #13667 | 43 |