Finite Group DatabasebetaFinite Group DatabasebetaOrder 12032.
318 conjugacy classes of subgroups; only the 131 normal subgroups are shown.
This group has 318 conjugacy classes of subgroups — too many to draw. Only its 131 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. #15688951 | C4 | semidirect |
| 56. C16×C47 | C4⋊C4 | semidirect |
| 114. C47 | #13167 | semidirect |
| 156. C16 | Dic47⋊C4 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#15688951 | 2 |
| C2×#15688898 | 2 |
| #20244119 | 2 |
| #20241479 | 2 |
| C2×C47×#366 | 2 |
| #13167 | 47 |