Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
594 conjugacy classes of subgroups; only the 119 normal subgroups are shown.
This group has 594 conjugacy classes of subgroups — too many to draw. Only its 119 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 |
|---|---|---|
| 3. C2×#14583277 | C2 | semidirect |
| 4. C2×#14582702 | C2 | semidirect |
| 6. #19132672 | C2 | semidirect |
| 7. C2×C43×#358 | C2 | semidirect |
| 154. C2×Dic43 | SD32 | semidirect |
| 191. C2×#358 | D43 | semidirect |
| 221. C43 | #13327 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×#13063270 | 2 |
| C22×#13063268 | 2 |
| C2×#14583277 | 2 |
| C2×#14582702 | 2 |
| #19135459 | 2 |
| #19132672 | 2 |
| C2×C43×#358 | 2 |
| #13327 | 43 |