Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
546 conjugacy classes of subgroups; only the 167 normal subgroups are shown.
This group has 546 conjugacy classes of subgroups — too many to draw. Only its 167 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. #19143206 | C2 | semidirect |
| 3. #19136815 | C2 | semidirect |
| 4. #19136810 | C2 | semidirect |
| 5. C2×#14582722 | C2 | semidirect |
| 6. #19136345 | C2 | semidirect |
| 7. C43×#2115 | C2 | semidirect |
| 146. #2115 | D43 | semidirect |
| 170. C43 | #33659 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19144257 | 2 |
| #19143206 | 2 |
| #19136815 | 2 |
| #19136810 | 2 |
| C2×#14582722 | 2 |
| #19136345 | 2 |
| C43×#2115 | 2 |
| #33659 | 43 |