Finite Group DatabasebetaFinite Group DatabasebetaOrder 12032.
274 conjugacy classes of subgroups; only the 79 normal subgroups are shown.
This group has 274 conjugacy classes of subgroups — too many to draw. Only its 79 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 |
|---|---|---|
| 88. C47⋊C8 | Q32 | semidirect |
| 124. C47 | #12528 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20245640 | 2 |
| #20245616 | 2 |
| #20245615 | 2 |
| #20243004 | 2 |
| #20242982 | 2 |
| #20241307 | 2 |
| C47×#2247 | 2 |
| #12528 | 47 |