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 |
|---|---|---|
| 2. #19136257 | C2 | semidirect |
| 3. #19132759 | C2 | semidirect |
| 4. #19132758 | C2 | semidirect |
| 5. C43×#1408 | C2 | semidirect |
| 7. #14583447 | C4 | semidirect |
| 10. #14583279 | C4 | semidirect |
| 11. #14583271 | C4 | semidirect |
| 14. C4×C8×D43 | C4 | semidirect |
| 130. #1408 | D43 | semidirect |
| 149. C43 | #13583 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19145022 | 2 |
| #19136257 | 2 |
| #19132759 | 2 |
| #19132758 | 2 |
| C43×#1408 | 2 |
| #13583 | 43 |