Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
354 conjugacy classes of subgroups; only the 93 normal subgroups are shown.
This group has 354 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. #19134748 | C2 | semidirect |
| 3. #19133367 | C2 | semidirect |
| 6. #19132423 | C2 | semidirect |
| 7. C43×#1570 | C2 | semidirect |
| 128. #1570 | D43 | semidirect |
| 150. C43 | #10666 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19135426 | 2 |
| #19134748 | 2 |
| #19133367 | 2 |
| #19132995 | 2 |
| #19132993 | 2 |
| #19132423 | 2 |
| C43×#1570 | 2 |
| #10666 | 43 |