Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
212 conjugacy classes of subgroups; only the 69 normal subgroups are shown.
This group has 212 conjugacy classes of subgroups — too many to draw. Only its 69 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 |
|---|---|---|
| 3. #19133503 | C2 | semidirect |
| 4. #19132564 | C2 | semidirect |
| 6. #19132515 | C2 | semidirect |
| 7. C43×#1368 | C2 | semidirect |
| 65. C16×C43 | M16 | semidirect |
| 102. #1368 | D43 | semidirect |
| 125. C43 | #12087 | semidirect |
| 169. C16 | #10621872 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19136461 | 2 |
| #19133508 | 2 |
| #19133503 | 2 |
| #19132564 | 2 |
| #19132561 | 2 |
| #19132515 | 2 |
| C43×#1368 | 2 |
| #12087 | 43 |