Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
934 conjugacy classes of subgroups; only the 135 normal subgroups are shown.
This group has 934 conjugacy classes of subgroups — too many to draw. Only its 135 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. #19134583 | C2 | semidirect |
| 3. #19134527 | C2 | semidirect |
| 4. #19132463 | C2 | semidirect |
| 5. C43×#2972 | C2 | semidirect |
| 11. #14582816 | C4 | semidirect |
| 12. #14582808 | C4 | semidirect |
| 48. C22×C8×C43 | D4 | semidirect |
| 121. C23×C43 | #102 | semidirect |
| 155. C2×C4×C43 | #102 | semidirect |
| 206. #2972 | D43 | semidirect |
| 237. C43 | #9468 | semidirect |
| 249. C22×C8 | C22⋊D43 | semidirect |
| 350. C23 | #13063247 | semidirect |
| 381. C2×C4 | #13063247 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19137951 | 2 |
| #19134583 | 2 |
| #19134527 | 2 |
| #19132463 | 2 |
| C43×#2972 | 2 |
| #9468 | 43 |