Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
942 conjugacy classes of subgroups; only the 171 normal subgroups are shown.
This group has 942 conjugacy classes of subgroups — too many to draw. Only its 171 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. #19145590 | C2 | semidirect |
| 2. #19144943 | C2 | semidirect |
| 3. #19133918 | C2 | semidirect |
| 4. #19133888 | C2 | semidirect |
| 5. #19133233 | C2 | semidirect |
| 6. #19133206 | C2 | semidirect |
| 7. C43×#3548 | C2 | semidirect |
| 158. #3548 | D43 | semidirect |
| 192. C43 | #19061 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19145590 | 2 |
| #19144943 | 2 |
| #19133918 | 2 |
| #19133888 | 2 |
| #19133233 | 2 |
| #19133206 | 2 |
| C43×#3548 | 2 |
| #19061 | 43 |