Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
388 conjugacy classes of subgroups; only the 115 normal subgroups are shown.
This group has 388 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 |
|---|---|---|
| 1. #19136389 | C2 | semidirect |
| 4. #19135348 | C2 | semidirect |
| 5. #19132709 | C2 | semidirect |
| 6. #19132679 | C2 | semidirect |
| 14. #14582709 | C4 | semidirect |
| 167. C43 | #12944 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19136389 | 2 |
| #19136331 | 2 |
| #19136323 | 2 |
| #19135348 | 2 |
| #19132709 | 2 |
| #19132679 | 2 |
| C2×C43×#444 | 2 |
| #12944 | 43 |