Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
290 conjugacy classes of subgroups; only the 67 normal subgroups are shown.
This group has 290 conjugacy classes of subgroups — too many to draw. Only its 67 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. #19136870 | C2 | semidirect |
| 3. #19136743 | C2 | semidirect |
| 4. #19133994 | C2 | semidirect |
| 5. #19132652 | C2 | semidirect |
| 6. #19132557 | C2 | semidirect |
| 7. C43×D4⋊C16 | C2 | semidirect |
| 129. D4⋊C16 | D43 | semidirect |
| 152. C43 | #12399 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19147018 | 2 |
| #19136870 | 2 |
| #19136743 | 2 |
| #19133994 | 2 |
| #19132652 | 2 |
| #19132557 | 2 |
| C43×D4⋊C16 | 2 |
| #12399 | 43 |