Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
372 conjugacy classes of subgroups; only the 93 normal subgroups are shown.
This group has 372 conjugacy classes of subgroups — too many to draw. Only its 93 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. #19134769 | C2 | semidirect |
| 3. #19133369 | C2 | semidirect |
| 6. #19132425 | C2 | semidirect |
| 7. C43×#1571 | C2 | semidirect |
| 133. #1571 | D43 | semidirect |
| 155. C43 | #10660 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19135392 | 2 |
| #19134769 | 2 |
| #19133369 | 2 |
| #19133021 | 2 |
| #19133019 | 2 |
| #19132425 | 2 |
| C43×#1571 | 2 |
| #10660 | 43 |