Finite Group DatabasebetaFinite Group DatabasebetaOrder 12032.
380 conjugacy classes of subgroups; only the 127 normal subgroups are shown.
This group has 380 conjugacy classes of subgroups — too many to draw. Only its 127 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 |
|---|---|---|
| 3. #20241495 | C2 | semidirect |
| 4. #20241489 | C2 | semidirect |
| 15. C47×#427 | C4 | semidirect |
| 17. C2×#106×C47 | C4 | semidirect |
| 129. #427 | Dic47 | semidirect |
| 131. C2×#106 | Dic47 | semidirect |
| 136. C47 | #12873 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20245009 | 2 |
| #20243434 | 2 |
| #20241495 | 2 |
| #20241489 | 2 |
| C47×#2912 | 2 |
| #12873 | 47 |