Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
460 conjugacy classes of subgroups; only the 107 normal subgroups are shown.
This group has 460 conjugacy classes of subgroups — too many to draw. Only its 107 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 |
|---|---|---|
| 4. #19135346 | C2 | semidirect |
| 5. #19132702 | C2 | semidirect |
| 6. #19132674 | C2 | semidirect |
| 7. C2×C43×#365 | C2 | semidirect |
| 18. #14582701 | C4 | semidirect |
| 41. #13063259 | C2×C4 | semidirect |
| 52. C2×C16×C43 | C2×C4 | semidirect |
| 141. C2×#365 | D43 | semidirect |
| 168. C43 | #12956 | semidirect |
| 191. C2×C16 | C4×D43 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#14583010 | 2 |
| C2×#14582711 | 2 |
| #19136312 | 2 |
| #19135346 | 2 |
| #19132702 | 2 |
| #19132674 | 2 |
| C2×C43×#365 | 2 |
| #12956 | 43 |