Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
350 conjugacy classes of subgroups; only the 103 normal subgroups are shown.
This group has 350 conjugacy classes of subgroups — too many to draw. Only its 103 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. C2×#14582676 | C2 | semidirect |
| 4. #19135349 | C2 | semidirect |
| 5. #19132700 | C2 | semidirect |
| 6. #19132694 | C2 | semidirect |
| 21. C43×#357 | C4 | semidirect |
| 155. #357 | Dic43 | semidirect |
| 158. C43 | #13155 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#14582712 | 2 |
| C2×#14582676 | 2 |
| #19135472 | 2 |
| #19135349 | 2 |
| #19132700 | 2 |
| #19132694 | 2 |
| C43×#2140 | 2 |
| #13155 | 43 |