Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
532 conjugacy classes of subgroups; only the 151 normal subgroups are shown.
This group has 532 conjugacy classes of subgroups — too many to draw. Only its 151 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. #19147608 | C2 | semidirect |
| 2. #19136856 | C2 | semidirect |
| 4. #19136651 | C2 | semidirect |
| 5. #19136636 | C2 | semidirect |
| 6. C4×Dic344 | C2 | semidirect |
| 7. C4×D688 | C2 | semidirect |
| 8. Q8×C16×C43 | C2 | semidirect |
| 120. Q8×C16 | D43 | semidirect |
| 146. C43 | #33963 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19147608 | 2 |
| #19136856 | 2 |
| #19136845 | 2 |
| #19136651 | 2 |
| #19136636 | 2 |
| C4×Dic344 | 2 |
| C4×D688 | 2 |
| Q8×C16×C43 | 2 |
| #33963 | 43 |