Finite Group DatabasebetaFinite Group DatabasebetaOrder 12032.
210 conjugacy classes of subgroups; only the 27 normal subgroups are shown.
This group has 210 conjugacy classes of subgroups — too many to draw. Only its 27 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 |
|---|---|---|
| 1. #20241551 | C2 | semidirect |
| 2. #20241425 | C2 | semidirect |
| 6. D42×C47 | C4 | semidirect |
| 9. C47×#331 | C4 | semidirect |
| 92. D42 | Dic47 | semidirect |
| 97. #331 | Dic47 | semidirect |
| 99. C47 | #7515 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20241551 | 2 |
| #20241425 | 2 |
| C47×#1619 | 2 |
| #7515 | 47 |