Finite Group DatabasebetaFinite Group DatabasebetaOrder 12032.
188 conjugacy classes of subgroups; only the 53 normal subgroups are shown.
This group has 188 conjugacy classes of subgroups — too many to draw. Only its 53 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. #20245681 | C2 | semidirect |
| 2. #20245505 | C2 | semidirect |
| 3. #20241592 | C2 | semidirect |
| 4. #20241578 | C2 | semidirect |
| 5. C2×C47×D32 | C2 | semidirect |
| 65. C2×D32 | D47 | semidirect |
| 85. C47 | #13700 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20245681 | 2 |
| #20245505 | 2 |
| #20241592 | 2 |
| #20241578 | 2 |
| C2×C47×D32 | 2 |
| #13700 | 47 |