Finite Group DatabasebetaFinite Group DatabasebetaOrder 12032.
464 conjugacy classes of subgroups; only the 99 normal subgroups are shown.
This group has 464 conjugacy classes of subgroups — too many to draw. Only its 99 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 |
|---|---|---|
| 1. #20252450 | C2 | semidirect |
| 2. #20241944 | C2 | semidirect |
| 3. #20241917 | C2 | semidirect |
| 4. #20241748 | C2 | semidirect |
| 5. #20241297 | C2 | semidirect |
| 6. #20241264 | C2 | semidirect |
| 26. C47×#483 | C4 | semidirect |
| 28. C47×#480 | C4 | semidirect |
| 31. C47×#450 | C4 | semidirect |
| 33. C47×#447 | C4 | semidirect |
| 235. #483 | Dic47 | semidirect |
| 237. #480 | Dic47 | semidirect |
| 240. #450 | Dic47 | semidirect |
| 242. #447 | Dic47 | semidirect |
| 260. C47 | #9332 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20252450 | 2 |
| #20241944 | 2 |
| #20241917 | 2 |
| #20241748 | 2 |
| #20241297 | 2 |
| #20241264 | 2 |
| C47×#3194 | 2 |
| #9332 | 47 |