Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
390 conjugacy classes of subgroups; only the 111 normal subgroups are shown.
This group has 390 conjugacy classes of subgroups — too many to draw. Only its 111 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 |
|---|---|---|
| 4. #19134719 | C2 | semidirect |
| 5. #19132701 | C2 | semidirect |
| 6. #19132694 | C2 | semidirect |
| 7. C43×#2153 | C2 | semidirect |
| 10. #14583012 | C4 | semidirect |
| 11. #14583007 | C4 | semidirect |
| 147. #2153 | D43 | semidirect |
| 175. C43 | #12828 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19143480 | 2 |
| #19136332 | 2 |
| #19136324 | 2 |
| #19134719 | 2 |
| #19132701 | 2 |
| #19132694 | 2 |
| C43×#2153 | 2 |
| #12828 | 43 |