Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
584 conjugacy classes of subgroups; only the 105 normal subgroups are shown.
This group has 584 conjugacy classes of subgroups — too many to draw. Only its 105 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. #19144622 | C2 | semidirect |
| 2. #19135535 | C2 | semidirect |
| 3. #19132994 | C2 | semidirect |
| 4. #19132426 | C2 | semidirect |
| 72. C2×C8×C43 | SD16 | semidirect |
| 156. C43 | #10034 | semidirect |
| 212. C2×C8 | #10621883 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19144622 | 2 |
| #19135535 | 2 |
| #19132994 | 2 |
| #19132426 | 2 |
| C43×#3150 | 2 |
| #10034 | 43 |