Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
390 conjugacy classes of subgroups; only the 91 normal subgroups are shown.
This group has 390 conjugacy classes of subgroups — too many to draw. Only its 91 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. #19136390 | C2 | semidirect |
| 3. #19136345 | C2 | semidirect |
| 4. C2×#14582710 | C2 | semidirect |
| 5. #19134654 | C2 | semidirect |
| 6. #19132694 | C2 | semidirect |
| 7. C43×#2115 | C2 | semidirect |
| 175. #2115 | D43 | semidirect |
| 203. C43 | #13391 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19144315 | 2 |
| #19136390 | 2 |
| #19136345 | 2 |
| C2×#14582710 | 2 |
| #19134654 | 2 |
| #19132694 | 2 |
| C43×#2115 | 2 |
| #13391 | 43 |