Finite Group DatabasebetaFinite Group DatabasebetaOrder 12032.
366 conjugacy classes of subgroups; only the 159 normal subgroups are shown.
This group has 366 conjugacy classes of subgroups — too many to draw. Only its 159 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 |
|---|---|---|
| 10. #15688948 | C4 | semidirect |
| 11. C16×Dic47 | C4 | semidirect |
| 51. C47⋊C16 | C42 | semidirect |
| 84. Dic47 | #366 | semidirect |
| 104. C47 | C4×#366 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#15688948 | 2 |
| C2×C16×Dic47 | 2 |
| #107×Dic47 | 2 |
| #20241480 | 2 |
| C47×#1380 | 2 |
| C4×#366 | 47 |