Finite Group DatabasebetaFinite Group DatabasebetaOrder 12032.
488 conjugacy classes of subgroups; only the 93 normal subgroups are shown.
This group has 488 conjugacy classes of subgroups — too many to draw. Only its 93 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. #20252529 | C2 | semidirect |
| 3. #20244187 | C2 | semidirect |
| 4. #20241977 | C2 | semidirect |
| 5. #20241286 | C2 | semidirect |
| 6. #20241239 | C2 | semidirect |
| 7. C47×#1490 | C2 | semidirect |
| 225. #1490 | D47 | semidirect |
| 262. C47 | #9052 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20253435 | 2 |
| #20252529 | 2 |
| #20244187 | 2 |
| #20241977 | 2 |
| #20241286 | 2 |
| #20241239 | 2 |
| C47×#1490 | 2 |
| #9052 | 47 |