Finite Group DatabasebetaFinite Group DatabasebetaOrder 12032.
752 conjugacy classes of subgroups; only the 107 normal subgroups are shown.
This group has 752 conjugacy classes of subgroups — too many to draw. Only its 107 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. C2×#15688919 | C2 | semidirect |
| 3. #20243316 | C2 | semidirect |
| 4. #20241514 | C2 | semidirect |
| 5. C2×C47×#413 | C2 | semidirect |
| 70. #101×C47 | D4 | semidirect |
| 248. C2×#413 | D47 | semidirect |
| 281. C47 | #13093 | semidirect |
| 321. #101 | C22⋊D47 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20247003 | 2 |
| C2×#15688919 | 2 |
| #20243316 | 2 |
| #20241514 | 2 |
| C2×C47×#413 | 2 |
| #13093 | 47 |