Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
364 conjugacy classes of subgroups; only the 93 normal subgroups are shown.
This group has 364 conjugacy classes of subgroups — too many to draw. Only its 93 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. #19136397 | C2 | semidirect |
| 3. #19136392 | C2 | semidirect |
| 4. #19132551 | C2 | semidirect |
| 5. D4⋊(C43⋊C16) | C2 | semidirect |
| 6. #19132549 | C2 | semidirect |
| 7. C43×D4⋊C16 | C2 | semidirect |
| 170. D4⋊C16 | D43 | semidirect |
| 196. C43 | #11632 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19143302 | 2 |
| #19136397 | 2 |
| #19136392 | 2 |
| #19132551 | 2 |
| D4⋊(C43⋊C16) | 2 |
| #19132549 | 2 |
| C43×D4⋊C16 | 2 |
| #11632 | 43 |