Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
440 conjugacy classes of subgroups; only the 99 normal subgroups are shown.
This group has 440 conjugacy classes of subgroups — too many to draw. Only its 99 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 |
|---|---|---|
| 2. #19135519 | C2 | semidirect |
| 4. #19133347 | C2 | semidirect |
| 6. #19132496 | C2 | semidirect |
| 7. C43×#1997 | C2 | semidirect |
| 93. M16×C43 | SD16 | semidirect |
| 182. #1997 | D43 | semidirect |
| 215. C43 | #10501 | semidirect |
| 282. M16 | #10621884 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19145520 | 2 |
| #19135519 | 2 |
| #19135514 | 2 |
| #19133347 | 2 |
| #19133273 | 2 |
| #19132496 | 2 |
| C43×#1997 | 2 |
| #10501 | 43 |