Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
678 conjugacy classes of subgroups; only the 119 normal subgroups are shown.
This group has 678 conjugacy classes of subgroups — too many to draw. Only its 119 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 |
|---|---|---|
| 5. #14582623 | C4 | semidirect |
| 20. C23×C4×C43 | C8 | semidirect |
| 27. C2×C22⋊C4×C43 | C8 | semidirect |
| 202. C43 | #7187 | semidirect |
| 210. C23×C4 | C43⋊C8 | semidirect |
| 218. C2×C22⋊C4 | C43⋊C8 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#14582623 | 2 |
| C43×C22⋊#95 | 2 |
| #7187 | 43 |