Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
318 conjugacy classes of subgroups; only the 67 normal subgroups are shown.
This group has 318 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 |
|---|---|---|
| 1. #19147018 | C2 | semidirect |
| 2. #19136819 | C2 | semidirect |
| 3. #19136631 | C2 | semidirect |
| 4. #19133950 | C2 | semidirect |
| 5. #19132652 | C2 | semidirect |
| 6. #19132557 | C2 | semidirect |
| 7. C43×D4⋊C16 | C2 | semidirect |
| 140. D4⋊C16 | D43 | semidirect |
| 164. C43 | #12343 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19147018 | 2 |
| #19136819 | 2 |
| #19136631 | 2 |
| #19133950 | 2 |
| #19132652 | 2 |
| #19132557 | 2 |
| C43×D4⋊C16 | 2 |
| #12343 | 43 |