Finite Group DatabasebetaFinite Group DatabasebetaOrder 12032.
328 conjugacy classes of subgroups; only the 83 normal subgroups are shown.
This group has 328 conjugacy classes of subgroups — too many to draw. Only its 83 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. #20242177 | C2 | semidirect |
| 2. #20242176 | C2 | semidirect |
| 6. C47⋊#1309 | C2 | semidirect |
| 7. C47×#1574 | C2 | semidirect |
| 143. #1574 | D47 | semidirect |
| 172. C47 | #10612 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20242177 | 2 |
| #20242176 | 2 |
| #20242057 | 2 |
| #20242055 | 2 |
| C47⋊#1309 | 2 |
| C47×#1574 | 2 |
| #10612 | 47 |