Finite Group DatabasebetaFinite Group DatabasebetaOrder 12032.
390 conjugacy classes of subgroups; only the 87 normal subgroups are shown.
This group has 390 conjugacy classes of subgroups — too many to draw. Only its 87 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. #20245162 | C2 | semidirect |
| 3. #20245115 | C2 | semidirect |
| 4. #20245096 | C2 | semidirect |
| 5. #20245001 | C2 | semidirect |
| 6. #20243443 | C2 | semidirect |
| 7. C47×#1381 | C2 | semidirect |
| 175. #1381 | D47 | semidirect |
| 201. C47 | #13406 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20253109 | 2 |
| #20245162 | 2 |
| #20245115 | 2 |
| #20245096 | 2 |
| #20245001 | 2 |
| #20243443 | 2 |
| C47×#1381 | 2 |
| #13406 | 47 |