Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
438 conjugacy classes of subgroups; only the 75 normal subgroups are shown.
This group has 438 conjugacy classes of subgroups — too many to draw. Only its 75 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 |
|---|---|---|
| 1. #19140789 | C2 | semidirect |
| 4. #19132500 | C2 | semidirect |
| 5. #19132481 | C2 | semidirect |
| 6. #19132449 | C2 | semidirect |
| 235. C43 | #10384 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19140789 | 2 |
| #19135432 | 2 |
| #19133124 | 2 |
| #19132500 | 2 |
| #19132481 | 2 |
| #19132449 | 2 |
| C43×#1507 | 2 |
| #10384 | 43 |