Finite Group DatabasebetaFinite Group DatabasebetaOrder 12032.
318 conjugacy classes of subgroups; only the 87 normal subgroups are shown.
This group has 318 conjugacy classes of subgroups — too many to draw. Only its 87 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. #20245645 | C2 | semidirect |
| 2. #20245613 | C2 | semidirect |
| 4. #20241306 | C2 | semidirect |
| 5. C47×#1707 | C2 | semidirect |
| 65. C8×C47 | SD32 | semidirect |
| 80. #1707 | D47 | semidirect |
| 97. C47 | #12529 | semidirect |
| 146. C8 | #13093967 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20245645 | 2 |
| #20245613 | 2 |
| #20243003 | 2 |
| #20241306 | 2 |
| C47×#1707 | 2 |
| #12529 | 47 |