Finite Group DatabasebetaFinite Group DatabasebetaOrder 12032.
466 conjugacy classes of subgroups; only the 123 normal subgroups are shown.
This group has 466 conjugacy classes of subgroups — too many to draw. Only its 123 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. #20256491 | C2 | semidirect |
| 3. #20245115 | C2 | semidirect |
| 4. #20241488 | C2 | semidirect |
| 5. C47×#1813 | C2 | semidirect |
| 37. C2×C47⋊C16 | D4 | semidirect |
| 137. #1813 | D47 | semidirect |
| 159. C47 | #13076 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20256491 | 2 |
| #20253050 | 2 |
| #20245115 | 2 |
| #20241488 | 2 |
| C47×#1813 | 2 |
| #13076 | 47 |