Finite Group DatabasebetaFinite Group DatabasebetaOrder 12032.
282 conjugacy classes of subgroups; only the 115 normal subgroups are shown.
This group has 282 conjugacy classes of subgroups — too many to draw. Only its 115 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 |
|---|---|---|
| 14. #15688951 | C4 | semidirect |
| 15. #15688949 | C4 | semidirect |
| 78. C16×C47 | C4⋊C4 | semidirect |
| 145. C47 | #13174 | semidirect |
| 201. C16 | Dic47⋊C4 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20245176 | 2 |
| C2×#15688946 | 2 |
| #20244141 | 2 |
| #20244126 | 2 |
| #20241497 | 2 |
| #20241494 | 2 |
| C2×C47×#347 | 2 |
| #13174 | 47 |