Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
328 conjugacy classes of subgroups; only the 93 normal subgroups are shown.
This group has 328 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. #19136396 | C2 | semidirect |
| 3. C4⋊C16×D43 | C2 | semidirect |
| 4. #19132577 | C2 | semidirect |
| 5. #19132554 | C2 | semidirect |
| 6. #19132552 | C2 | semidirect |
| 7. C43×#1338 | C2 | semidirect |
| 152. #1338 | D43 | semidirect |
| 179. C43 | #11626 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19143560 | 2 |
| #19136396 | 2 |
| C4⋊C16×D43 | 2 |
| #19132577 | 2 |
| #19132554 | 2 |
| #19132552 | 2 |
| C43×#1338 | 2 |
| #11626 | 43 |