Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
306 conjugacy classes of subgroups; only the 89 normal subgroups are shown.
This group has 306 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 |
|---|---|---|
| 1. #19136368 | C2 | semidirect |
| 2. #19136360 | C2 | semidirect |
| 5. #19135373 | C2 | semidirect |
| 6. #19132702 | C2 | semidirect |
| 162. C43 | #13469 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19136368 | 2 |
| #19136360 | 2 |
| #19136323 | 2 |
| #19135494 | 2 |
| #19135373 | 2 |
| #19132702 | 2 |
| C2×C43×#360 | 2 |
| #13469 | 43 |