Finite Group DatabasebetaFinite Group DatabasebetaOrder 12032.
336 conjugacy classes of subgroups; only the 93 normal subgroups are shown.
This group has 336 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. #20245190 | C2 | semidirect |
| 3. #346×D47 | C2 | semidirect |
| 4. #20241371 | C2 | semidirect |
| 5. #20241369 | C2 | semidirect |
| 6. #20241346 | C2 | semidirect |
| 7. C47×#1330 | C2 | semidirect |
| 154. #1330 | D47 | semidirect |
| 179. C47 | #11619 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20252351 | 2 |
| #20245190 | 2 |
| #346×D47 | 2 |
| #20241371 | 2 |
| #20241369 | 2 |
| #20241346 | 2 |
| C47×#1330 | 2 |
| #11619 | 47 |