Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
456 conjugacy classes of subgroups; only the 115 normal subgroups are shown.
This group has 456 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 |
|---|---|---|
| 3. C2×#14582714 | C2 | semidirect |
| 4. #19135510 | C2 | semidirect |
| 5. #19132708 | C2 | semidirect |
| 6. #19132681 | C2 | semidirect |
| 10. #14583339 | C4 | semidirect |
| 194. C43 | #13031 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#14583339 | 2 |
| #19136344 | 2 |
| C2×#14582714 | 2 |
| #19135510 | 2 |
| #19132708 | 2 |
| #19132681 | 2 |
| C43×#2957 | 2 |
| #13031 | 43 |