Finite Group DatabasebetaFinite Group DatabasebetaOrder 12032.
188 conjugacy classes of subgroups; only the 51 normal subgroups are shown.
This group has 188 conjugacy classes of subgroups — too many to draw. Only its 51 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. C2×#15688958 | C2 | semidirect |
| 2. #20245683 | C2 | semidirect |
| 3. #20245509 | C2 | semidirect |
| 4. #20245505 | C2 | semidirect |
| 5. #20241591 | C2 | semidirect |
| 6. #20241579 | C2 | semidirect |
| 7. C47×#1419 | C2 | semidirect |
| 95. #1419 | D47 | semidirect |
| 116. C47 | #13700 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#15688958 | 2 |
| #20245683 | 2 |
| #20245509 | 2 |
| #20245505 | 2 |
| #20241591 | 2 |
| #20241579 | 2 |
| C47×#1419 | 2 |
| #13700 | 47 |