Finite Group DatabasebetaFinite Group DatabasebetaOrder 12032.
574 conjugacy classes of subgroups; only the 291 normal subgroups are shown.
This group has 574 conjugacy classes of subgroups — too many to draw. Only its 291 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 |
|---|---|---|
| 15. C8×Dic47 | C8 | semidirect |
| 61. C47 | #8131 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C4×C8×Dic47 | 2 |
| C47⋊#1273 | 2 |
| C47×#1273 | 2 |
| #8131 | 47 |