Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
492 conjugacy classes of subgroups; only the 103 normal subgroups are shown.
This group has 492 conjugacy classes of subgroups — too many to draw. Only its 103 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 |
|---|---|---|
| 3. #19133211 | C2 | semidirect |
| 4. #19133015 | C2 | semidirect |
| 5. #19132495 | C2 | semidirect |
| 6. #19132468 | C2 | semidirect |
| 225. C43 | #9312 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19144757 | 2 |
| #19143023 | 2 |
| #19133211 | 2 |
| #19133015 | 2 |
| #19132495 | 2 |
| #19132468 | 2 |
| C43×#1488 | 2 |
| #9312 | 43 |