Finite Group DatabasebetaFinite Group DatabasebetaOrder 12032.
908 conjugacy classes of subgroups; only the 143 normal subgroups are shown.
This group has 908 conjugacy classes of subgroups — too many to draw. Only its 143 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 |
|---|---|---|
| 3. #20243324 | C2 | semidirect |
| 4. #20241268 | C2 | semidirect |
| 11. #15689035 | C4 | semidirect |
| 24. C22×Dic94 | C2×C4 | semidirect |
| 41. C47⋊#95 | C2×C4 | semidirect |
| 120. C23×C47 | #103 | semidirect |
| 218. C47 | #9013 | semidirect |
| 319. C23 | #13093949 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#15689035 | 2 |
| #20246002 | 2 |
| #20243324 | 2 |
| #20241268 | 2 |
| C2×C47×#323 | 2 |
| #9013 | 47 |