Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
522 conjugacy classes of subgroups; only the 131 normal subgroups are shown.
This group has 522 conjugacy classes of subgroups — too many to draw. Only its 131 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. #19136206 | C2 | semidirect |
| 2. #19132521 | C2 | semidirect |
| 6. C22⋊(C43⋊C16) | C22 | semidirect |
| 151. C43 | #11421 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19136206 | 2 |
| #19132521 | 2 |
| C2×C43×#408 | 2 |
| #11421 | 43 |