Finite Group DatabasebetaFinite Group DatabasebetaOrder 12032.
246 conjugacy classes of subgroups; only the 87 normal subgroups are shown.
This group has 246 conjugacy classes of subgroups — too many to draw. Only its 87 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 |
|---|---|---|
| 62. C16×C47 | Q16 | semidirect |
| 63. C47⋊C16 | Q16 | semidirect |
| 114. C47 | #12524 | semidirect |
| 155. C16 | #10625337 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20245668 | 2 |
| #20245663 | 2 |
| #20245661 | 2 |
| #20243005 | 2 |
| #20242997 | 2 |
| #20241304 | 2 |
| C47×#2254 | 2 |
| #12524 | 47 |