Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
812 conjugacy classes of subgroups; only the 123 normal subgroups are shown.
This group has 812 conjugacy classes of subgroups — too many to draw. Only its 123 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. #19132987 | C2 | semidirect |
| 3. #19132985 | C2 | semidirect |
| 4. #19132909 | C2 | semidirect |
| 5. C43×#1458 | C2 | semidirect |
| 212. #1458 | D43 | semidirect |
| 242. C43 | #8326 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#14583504 | 2 |
| #19132987 | 2 |
| #19132985 | 2 |
| #19132909 | 2 |
| C43×#1458 | 2 |
| #8326 | 43 |