Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
366 conjugacy classes of subgroups; only the 123 normal subgroups are shown.
This group has 366 conjugacy classes of subgroups — too many to draw. Only its 123 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. C2×#14582729 | C2 | semidirect |
| 4. #19132703 | C2 | semidirect |
| 5. C2×C43×#367 | C2 | semidirect |
| 8. #14583315 | C4 | semidirect |
| 117. C2×#367 | D43 | semidirect |
| 139. C43 | #12843 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#14583315 | 2 |
| C2×#14582729 | 2 |
| #19134660 | 2 |
| #19132703 | 2 |
| C2×C43×#367 | 2 |
| #12843 | 43 |