Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
362 conjugacy classes of subgroups; only the 143 normal subgroups are shown.
This group has 362 conjugacy classes of subgroups — too many to draw. Only its 143 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. #19136379 | C2 | semidirect |
| 3. #19132697 | C2 | semidirect |
| 13. C2×M32×C43 | C4 | semidirect |
| 15. C22×C16×C43 | C4 | semidirect |
| 99. C2×M32 | Dic43 | semidirect |
| 101. C22×C16 | Dic43 | semidirect |
| 108. C43 | #12839 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19136379 | 2 |
| #19134641 | 2 |
| #19132697 | 2 |
| C2×C43×#504 | 2 |
| #12839 | 43 |