Finite Group DatabasebetaFinite Group DatabasebetaOrder 12032.
286 conjugacy classes of subgroups; only the 63 normal subgroups are shown.
This group has 286 conjugacy classes of subgroups — too many to draw. Only its 63 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 |
|---|---|---|
| 7. #15688920 | C4 | semidirect |
| 9. #15688918 | C4 | semidirect |
| 13. C2×C4×C8×C47 | C4 | semidirect |
| 14. C47×#382 | C4 | semidirect |
| 131. C2×C4×C8 | Dic47 | semidirect |
| 132. #382 | Dic47 | semidirect |
| 137. C47 | #7502 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#15688920 | 2 |
| C2×#15688918 | 2 |
| C47×#1958 | 2 |
| #7502 | 47 |