Finite Group DatabasebetaFinite Group DatabasebetaOrder 12032.
294 conjugacy classes of subgroups; only the 119 normal subgroups are shown.
This group has 294 conjugacy classes of subgroups — too many to draw. Only its 119 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. #15688845 | C4 | semidirect |
| 15. #15688845 | C4 | semidirect |
| 16. #15688844 | C4 | semidirect |
| 17. C8×C47⋊C8 | C4 | semidirect |
| 129. C47 | #8141 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20243141 | 2 |
| #20241681 | 2 |
| #20241672 | 2 |
| #20241219 | 2 |
| #20241216 | 2 |
| C47×#1275 | 2 |
| #8141 | 47 |