Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
594 conjugacy classes of subgroups; only the 111 normal subgroups are shown.
This group has 594 conjugacy classes of subgroups — too many to draw. Only its 111 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. #19137466 | C2 | semidirect |
| 4. #19134679 | C2 | semidirect |
| 6. #19132442 | C2 | semidirect |
| 7. C43×#1289 | C2 | semidirect |
| 14. C2×#13063259 | C4 | semidirect |
| 15. C2×#13063247 | C4 | semidirect |
| 228. #1289 | D43 | semidirect |
| 261. C43 | #9260 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#14583213 | 2 |
| #19137466 | 2 |
| #19135430 | 2 |
| #19134679 | 2 |
| #19133162 | 2 |
| #19132442 | 2 |
| C43×#1289 | 2 |
| #9260 | 43 |