Finite Group DatabasebetaFinite Group DatabasebetaOrder 12032.
212 conjugacy classes of subgroups; only the 57 normal subgroups are shown.
This group has 212 conjugacy classes of subgroups — too many to draw. Only its 57 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. #20245639 | C2 | semidirect |
| 5. Dic47⋊C32 | C2 | semidirect |
| 6. #20241568 | C2 | semidirect |
| 7. C47×#1416 | C2 | semidirect |
| 90. Dic47 | SD64 | semidirect |
| 97. #1416 | D47 | semidirect |
| 115. C47 | #13687 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#15688962 | 2 |
| C2×#15688960 | 2 |
| #20245639 | 2 |
| #20245234 | 2 |
| Dic47⋊C32 | 2 |
| #20241568 | 2 |
| C47×#1416 | 2 |
| #13687 | 47 |