Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
416 conjugacy classes of subgroups; only the 59 normal subgroups are shown.
This group has 416 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. #19142669 | C2 | semidirect |
| 2. #19133598 | C2 | semidirect |
| 4. #19132600 | C2 | semidirect |
| 5. #19132597 | C2 | semidirect |
| 6. #19132541 | C2 | semidirect |
| 7. C43×#2039 | C2 | semidirect |
| 98. C42×C43 | D8 | semidirect |
| 190. #2039 | D43 | semidirect |
| 222. C43 | #12155 | semidirect |
| 310. C42 | #10621882 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19142669 | 2 |
| #19133598 | 2 |
| #19133530 | 2 |
| #19132600 | 2 |
| #19132597 | 2 |
| #19132541 | 2 |
| C43×#2039 | 2 |
| #12155 | 43 |