Finite Group DatabasebetaFinite Group DatabasebetaOrder 12032.
258 conjugacy classes of subgroups; only the 127 normal subgroups are shown.
This group has 258 conjugacy classes of subgroups — too many to draw. Only its 127 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 |
|---|---|---|
| 9. #15688899 | C4 | semidirect |
| 10. C4×C47⋊C16 | C4 | semidirect |
| 16. C47×#347 | C4 | semidirect |
| 88. #347 | Dic47 | semidirect |
| 94. C47 | #12597 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20244985 | 2 |
| #20243143 | 2 |
| #20241478 | 2 |
| #20241475 | 2 |
| C47×#2110 | 2 |
| #12597 | 47 |