Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
420 conjugacy classes of subgroups; only the 99 normal subgroups are shown.
This group has 420 conjugacy classes of subgroups — too many to draw. Only its 99 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. #19135572 | C2 | semidirect |
| 4. #19133283 | C2 | semidirect |
| 6. #19132470 | C2 | semidirect |
| 7. C43×#1831 | C2 | semidirect |
| 95. C42×C43 | SD16 | semidirect |
| 187. #1831 | D43 | semidirect |
| 218. C43 | #10521 | semidirect |
| 304. C42 | #10621873 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19145912 | 2 |
| #19135572 | 2 |
| #19135423 | 2 |
| #19133283 | 2 |
| #19133270 | 2 |
| #19132470 | 2 |
| C43×#1831 | 2 |
| #10521 | 43 |