Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
492 conjugacy classes of subgroups; only the 89 normal subgroups are shown.
This group has 492 conjugacy classes of subgroups — too many to draw. Only its 89 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. #19135440 | C2 | semidirect |
| 4. #19133190 | C2 | semidirect |
| 6. #19132486 | C2 | semidirect |
| 7. C43×#3230 | C2 | semidirect |
| 176. #3230 | D43 | semidirect |
| 210. C43 | #10109 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19145978 | 2 |
| #19144991 | 2 |
| #19135440 | 2 |
| #19133190 | 2 |
| #19133011 | 2 |
| #19132486 | 2 |
| C43×#3230 | 2 |
| #10109 | 43 |