Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
540 conjugacy classes of subgroups; only the 99 normal subgroups are shown.
This group has 540 conjugacy classes of subgroups — too many to draw. Only its 99 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. #19144246 | C2 | semidirect |
| 3. C2×#14582715 | C2 | semidirect |
| 4. #19136311 | C2 | semidirect |
| 5. C2×#14582682 | C2 | semidirect |
| 6. #19132691 | C2 | semidirect |
| 7. C22×SD32×C43 | C2 | semidirect |
| 188. C22×SD32 | D43 | semidirect |
| 222. C43 | #13320 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#14583166 | 2 |
| #19144246 | 2 |
| C2×#14582715 | 2 |
| #19136311 | 2 |
| C2×#14582682 | 2 |
| #19132691 | 2 |
| C22×SD32×C43 | 2 |
| #13320 | 43 |