Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
180 conjugacy classes of subgroups; only the 51 normal subgroups are shown.
This group has 180 conjugacy classes of subgroups — too many to draw. Only its 51 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. C2×#14582739 | C2 | semidirect |
| 5. #19132798 | C2 | semidirect |
| 6. #19132789 | C2 | semidirect |
| 7. C43×#1420 | C2 | semidirect |
| 93. #1420 | D43 | semidirect |
| 112. C43 | #13701 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#14582739 | 2 |
| #19136890 | 2 |
| #19136721 | 2 |
| #19136717 | 2 |
| #19132798 | 2 |
| #19132789 | 2 |
| C43×#1420 | 2 |
| #13701 | 43 |