Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
594 conjugacy classes of subgroups; only the 101 normal subgroups are shown.
This group has 594 conjugacy classes of subgroups — too many to draw. Only its 101 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. C2×#14583232 | C2 | semidirect |
| 3. #19135581 | C2 | semidirect |
| 4. #19134686 | C2 | semidirect |
| 6. #19132442 | C2 | semidirect |
| 240. C43 | #9958 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#14583232 | 2 |
| #19139088 | 2 |
| #19135581 | 2 |
| #19134686 | 2 |
| #19133163 | 2 |
| #19132442 | 2 |
| C43×#3187 | 2 |
| #9958 | 43 |