Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
298 conjugacy classes of subgroups; only the 107 normal subgroups are shown.
This group has 298 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 |
|---|---|---|
| 2. #19136379 | C2 | semidirect |
| 3. #19132777 | C2 | semidirect |
| 4. #19132774 | C2 | semidirect |
| 5. C22×C32×C43 | C2 | semidirect |
| 8. #14583331 | C4 | semidirect |
| 89. C22×C32 | D43 | semidirect |
| 109. C43 | #13615 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#14583331 | 2 |
| #19136379 | 2 |
| #19132777 | 2 |
| #19132774 | 2 |
| C22×C32×C43 | 2 |
| #13615 | 43 |