Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
1136 conjugacy classes of subgroups; only the 155 normal subgroups are shown.
This group has 1136 conjugacy classes of subgroups — too many to draw. Only its 155 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. C2×#14583649 | C2 | semidirect |
| 3. #19136607 | C2 | direct (N × H) |
| 4. C2×#14582694 | C2 | semidirect |
| 5. C2×#14582690 | C2 | semidirect |
| 9. #14583649 | C22 | semidirect |
| 20. #14582694 | C22 | semidirect |
| 21. #14582690 | C22 | semidirect |
| 232. C2×C43 | #2201 | semidirect |
| 256. C43 | C2×#2201 | semidirect |
| 453. C2 | #19136607 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#14583649 | 2 |
| C2×#14583089 | 2 |
| #19136607 | 2 |
| C2×#14582694 | 2 |
| C2×#14582690 | 2 |
| C2×C43×#455 | 2 |
| C2×#2201 | 43 |