Finite Group DatabasebetaFinite Group DatabasebetaOrder 12032.
442 conjugacy classes of subgroups; only the 123 normal subgroups are shown.
This group has 442 conjugacy classes of subgroups — too many to draw. Only its 123 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×#15688953 | C2 | semidirect |
| 3. C2×#15688937 | C2 | semidirect |
| 4. #20244298 | C2 | semidirect |
| 5. C47×#2108 | C2 | semidirect |
| 10. C2×D752 | C4 | semidirect |
| 116. #2108 | D47 | semidirect |
| 138. C47 | #13245 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×D752 | 2 |
| C2×#15688953 | 2 |
| C2×#15688937 | 2 |
| #20244298 | 2 |
| C47×#2108 | 2 |
| #13245 | 47 |