Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
540 conjugacy classes of subgroups; only the 97 normal subgroups are shown.
This group has 540 conjugacy classes of subgroups — too many to draw. Only its 97 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. C22×#13063269 | C2 | semidirect |
| 3. #19144251 | C2 | semidirect |
| 4. C2×#14582716 | C2 | semidirect |
| 5. C2×#14582684 | C2 | semidirect |
| 6. #19132690 | C2 | semidirect |
| 7. C43×#2140 | C2 | semidirect |
| 192. #2140 | 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 |
|---|---|
| C22×#13063269 | 2 |
| C2×#14583166 | 2 |
| #19144251 | 2 |
| C2×#14582716 | 2 |
| C2×#14582684 | 2 |
| #19132690 | 2 |
| C43×#2140 | 2 |
| #13320 | 43 |