Finite Group DatabasebetaFinite Group DatabasebetaOrder 12032.
344 conjugacy classes of subgroups; only the 95 normal subgroups are shown.
This group has 344 conjugacy classes of subgroups — too many to draw. Only its 95 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 |
|---|---|---|
| 8. #15688849 | C4 | semidirect |
| 11. C2×C4⋊C8×C47 | C4 | semidirect |
| 12. C2×C4⋊C8×C47 | C4 | semidirect |
| 153. C2×C4⋊C8 | Dic47 | semidirect |
| 154. C2×C4⋊C8 | Dic47 | semidirect |
| 161. C47 | #7252 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20243121 | 2 |
| #20241702 | 2 |
| C47×#1798 | 2 |
| #7252 | 47 |