Finite Group DatabasebetaFinite Group DatabasebetaOrder 12032.
194 conjugacy classes of subgroups; only the 63 normal subgroups are shown.
This group has 194 conjugacy classes of subgroups — too many to draw. Only its 63 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. #20245275 | C2 | semidirect |
| 3. #20241593 | C2 | semidirect |
| 4. #20241578 | C2 | semidirect |
| 5. #20241574 | C2 | semidirect |
| 6. #20241524 | C2 | semidirect |
| 7. C47×#2177 | C2 | semidirect |
| 10. #15688961 | C4 | semidirect |
| 11. #15688958 | C4 | semidirect |
| 23. Dic376 | C2×C4 | semidirect |
| 25. D752 | C2×C4 | semidirect |
| 29. C47⋊C32 | C2×C4 | semidirect |
| 86. #2177 | 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 |
| #20245275 | 2 |
| #20241593 | 2 |
| #20241578 | 2 |
| #20241574 | 2 |
| #20241524 | 2 |
| C47×#2177 | 2 |
| #13658 | 47 |