Finite Group DatabasebetaFinite Group DatabasebetaOrder 12032.
504 conjugacy classes of subgroups; only the 97 normal subgroups are shown.
This group has 504 conjugacy classes of subgroups — too many to draw. Only its 97 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 |
|---|---|---|
| 4. #20242074 | C2 | semidirect |
| 5. #20242072 | C2 | semidirect |
| 6. #20241278 | C2 | semidirect |
| 7. C47×#1299 | C2 | semidirect |
| 175. #1299 | D47 | semidirect |
| 203. C47 | #9435 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20253847 | 2 |
| #20252454 | 2 |
| #20242121 | 2 |
| #20242074 | 2 |
| #20242072 | 2 |
| #20241278 | 2 |
| C47×#1299 | 2 |
| #9435 | 47 |