Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
584 conjugacy classes of subgroups; only the 99 normal subgroups are shown.
This group has 584 conjugacy classes of subgroups — too many to draw. Only its 99 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. #19144627 | C2 | semidirect |
| 3. #19144622 | C2 | semidirect |
| 4. #19135534 | C2 | semidirect |
| 5. #19132993 | C2 | semidirect |
| 6. #19132425 | C2 | semidirect |
| 7. C43×#1480 | C2 | semidirect |
| 137. C2×C43⋊C8 | SD16 | semidirect |
| 208. #1480 | D43 | semidirect |
| 241. C43 | #10034 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19145040 | 2 |
| #19144627 | 2 |
| #19144622 | 2 |
| #19135534 | 2 |
| #19132993 | 2 |
| #19132425 | 2 |
| C43×#1480 | 2 |
| #10034 | 43 |