Finite Group DatabasebetaFinite Group DatabasebetaOrder 12032.
194 conjugacy classes of subgroups; only the 59 normal subgroups are shown.
This group has 194 conjugacy classes of subgroups — too many to draw. Only its 59 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. #20245273 | C2 | semidirect |
| 3. #20245264 | C2 | semidirect |
| 4. #20241595 | C2 | semidirect |
| 5. #20241576 | C2 | semidirect |
| 6. #20241523 | C2 | semidirect |
| 7. C47×#1419 | C2 | semidirect |
| 11. #15688961 | C4 | semidirect |
| 12. #15688958 | C4 | semidirect |
| 24. Dic376 | C2×C4 | semidirect |
| 26. D752 | C2×C4 | semidirect |
| 32. C47⋊C32 | C2×C4 | semidirect |
| 88. #1419 | D47 | semidirect |
| 108. C47 | #13658 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20245701 | 2 |
| #20245273 | 2 |
| #20245264 | 2 |
| #20241595 | 2 |
| #20241576 | 2 |
| #20241523 | 2 |
| C47×#1419 | 2 |
| #13658 | 47 |