Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
538 conjugacy classes of subgroups; only the 89 normal subgroups are shown.
This group has 538 conjugacy classes of subgroups — too many to draw. Only its 89 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. #19134692 | C2 | semidirect |
| 4. #19134670 | C2 | semidirect |
| 6. #19132449 | C2 | semidirect |
| 7. C43×#1306 | C2 | semidirect |
| 11. #14583218 | C4 | semidirect |
| 12. #14583213 | C4 | semidirect |
| 42. C2×C4⋊Dic43 | C2×C4 | semidirect |
| 43. C2×C4⋊Dic43 | C2×C4 | semidirect |
| 74. C22⋊C8×C43 | C2×C4 | semidirect |
| 229. #1306 | D43 | semidirect |
| 262. C43 | #9525 | semidirect |
| 301. C22⋊C8 | C4×D43 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19144536 | 2 |
| #19137357 | 2 |
| #19134692 | 2 |
| #19134670 | 2 |
| #19133125 | 2 |
| #19132449 | 2 |
| C43×#1306 | 2 |
| #9525 | 43 |