Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
444 conjugacy classes of subgroups; only the 89 normal subgroups are shown.
This group has 444 conjugacy classes of subgroups — too many to draw. Only its 89 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. #19135563 | C2 | semidirect |
| 3. #19134730 | C2 | semidirect |
| 4. C2×#14582640 | C2 | semidirect |
| 6. #19132477 | C2 | semidirect |
| 235. C43 | #10426 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19142646 | 2 |
| #19135563 | 2 |
| #19134730 | 2 |
| C2×#14582640 | 2 |
| C2×#14582639 | 2 |
| #19132477 | 2 |
| C43×#1959 | 2 |
| #10426 | 43 |