Finite Group DatabasebetaFinite Group DatabasebetaOrder 12032.
332 conjugacy classes of subgroups; only the 99 normal subgroups are shown.
This group has 332 conjugacy classes of subgroups — too many to draw. Only its 99 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. C2×C16×Dic47 | C2 | semidirect |
| 5. #20244134 | C2 | semidirect |
| 6. #20241485 | C2 | semidirect |
| 7. C47×#1381 | C2 | semidirect |
| 16. #15688928 | C4 | semidirect |
| 17. #15688925 | C4 | semidirect |
| 139. #1381 | D47 | semidirect |
| 160. C47 | #13151 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#15688929 | 2 |
| #20245096 | 2 |
| C2×C16×Dic47 | 2 |
| #20244274 | 2 |
| #20244134 | 2 |
| #20241485 | 2 |
| C47×#1381 | 2 |
| #13151 | 47 |