Finite Group DatabasebetaFinite Group DatabasebetaOrder 12032.
538 conjugacy classes of subgroups; only the 107 normal subgroups are shown.
This group has 538 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×#15689234 | C2 | semidirect |
| 3. C2×#15688935 | C2 | semidirect |
| 4. C2×#15688932 | C2 | semidirect |
| 5. #20244279 | C2 | semidirect |
| 6. #20241467 | C2 | semidirect |
| 7. C47×#1383 | C2 | semidirect |
| 13. C2×#13093969 | C4 | semidirect |
| 14. C2×D752 | C4 | semidirect |
| 34. C2×Dic188 | C2×C4 | semidirect |
| 40. C2×D376 | C2×C4 | semidirect |
| 63. C2×C16×C47 | C2×C4 | semidirect |
| 178. #1383 | D47 | semidirect |
| 205. C47 | #13037 | semidirect |
| 237. C2×C16 | C4×D47 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#15689561 | 2 |
| C2×#15689234 | 2 |
| C2×#15688935 | 2 |
| C2×#15688932 | 2 |
| #20244279 | 2 |
| #20241467 | 2 |
| C47×#1383 | 2 |
| #13037 | 47 |