Finite Group DatabasebetaFinite Group DatabasebetaOrder 12032.
302 conjugacy classes of subgroups; only the 107 normal subgroups are shown.
This group has 302 conjugacy classes of subgroups — too many to draw. Only its 107 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×#15688949 | C2 | semidirect |
| 3. #20241570 | C2 | semidirect |
| 4. #20241567 | C2 | semidirect |
| 5. C2×C47×M64 | C2 | semidirect |
| 8. #15689555 | C4 | semidirect |
| 26. Dic376 | C2×C4 | semidirect |
| 29. D752 | C2×C4 | semidirect |
| 92. C2×M64 | D47 | semidirect |
| 113. C47 | #13616 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#15689555 | 2 |
| C2×#15688949 | 2 |
| #20241570 | 2 |
| #20241567 | 2 |
| C2×C47×M64 | 2 |
| #13616 | 47 |