Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
408 conjugacy classes of subgroups; only the 59 normal subgroups are shown.
This group has 408 conjugacy classes of subgroups — too many to draw. Only its 59 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. #19142479 | C2 | semidirect |
| 5. #19132626 | C2 | semidirect |
| 6. #19132623 | C2 | semidirect |
| 7. C43×#1319 | C2 | semidirect |
| 68. C2×Q8×C43 | SD16 | semidirect |
| 181. #1319 | D43 | semidirect |
| 207. C43 | #12128 | semidirect |
| 256. C2×Q8 | #10621873 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19142479 | 2 |
| #19135641 | 2 |
| #19133634 | 2 |
| #19133566 | 2 |
| #19132626 | 2 |
| #19132623 | 2 |
| C43×#1319 | 2 |
| #12128 | 43 |