Finite Group DatabasebetaFinite Group DatabasebetaOrder 12032.
210 conjugacy classes of subgroups; only the 77 normal subgroups are shown.
This group has 210 conjugacy classes of subgroups — too many to draw. Only its 77 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 |
|---|---|---|
| 85. C47⋊C8 | Q32 | semidirect |
| 122. C47 | #12072 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C4×#13093970 | 2 |
| #20242284 | 2 |
| Q16×C47⋊C8 | 2 |
| #20241459 | 2 |
| #20241353 | 2 |
| #20241307 | 2 |
| C47×#1332 | 2 |
| #12072 | 47 |