Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
4614 conjugacy classes of subgroups; only the 491 normal subgroups are shown.
This group has 4614 conjugacy classes of subgroups — too many to draw. Only its 491 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. C2×#14582746 | C2 | semidirect |
| 3. #19132866 | C2 | semidirect |
| 4. #19132835 | C2 | semidirect |
| 5. C43×#1446 | C2 | semidirect |
| 7. C22×#10621902 | C4 | semidirect |
| 50. C22×C4×C43 | #41 | semidirect |
| 55. C22×Dic43 | #41 | semidirect |
| 62. C2×C4×D43 | C22⋊C4 | semidirect |
| 112. #1446 | D43 | semidirect |
| 129. C43 | #13851 | semidirect |
| 176. C22×C4 | #10621902 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C23×#10621902 | 2 |
| C2×#14582746 | 2 |
| #19132866 | 2 |
| #19132835 | 2 |
| C43×#1446 | 2 |
| #13851 | 43 |