Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
724 conjugacy classes of subgroups; only the 115 normal subgroups are shown.
This group has 724 conjugacy classes of subgroups — too many to draw. Only its 115 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. C4×#13063287 | C2 | semidirect |
| 3. #19135422 | C2 | semidirect |
| 4. #19133089 | C2 | semidirect |
| 5. #19133019 | C2 | semidirect |
| 6. #19132427 | C2 | semidirect |
| 7. C43×#1303 | C2 | semidirect |
| 13. #14583180 | C4 | semidirect |
| 14. #14583095 | C4 | semidirect |
| 34. #13063325 | C2×C4 | semidirect |
| 35. #13063322 | C2×C4 | semidirect |
| 71. C4⋊C8×C43 | C2×C4 | semidirect |
| 131. C4×Dic43 | D8 | semidirect |
| 174. D172 | #104 | semidirect |
| 219. #1303 | D43 | semidirect |
| 249. C43 | #9233 | semidirect |
| 285. C4⋊C8 | C4×D43 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19144596 | 2 |
| C4×#13063287 | 2 |
| #19135422 | 2 |
| #19133089 | 2 |
| #19133019 | 2 |
| #19132427 | 2 |
| C43×#1303 | 2 |
| #9233 | 43 |