Finite Group DatabasebetaFinite Group DatabasebetaOrder 12032.
294 conjugacy classes of subgroups; only the 67 normal subgroups are shown.
This group has 294 conjugacy classes of subgroups — too many to draw. Only its 67 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 |
|---|---|---|
| 1. C22×Dic376 | C2 | semidirect |
| 2. C2×#15688962 | C2 | semidirect |
| 4. #20241570 | C2 | semidirect |
| 5. C47×C22⋊C32 | C2 | semidirect |
| 26. Dic376 | D4 | semidirect |
| 77. C22×C47 | SD64 | semidirect |
| 91. C22⋊C32 | D47 | semidirect |
| 108. C47 | #13662 | semidirect |
| 171. C22 | #15688962 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×Dic376 | 2 |
| C2×#15688962 | 2 |
| #20245474 | 2 |
| #20241570 | 2 |
| C47×C22⋊C32 | 2 |
| #13662 | 47 |