Finite Group DatabasebetaFinite Group DatabasebetaOrder 12032.
456 conjugacy classes of subgroups; only the 97 normal subgroups are shown.
This group has 456 conjugacy classes of subgroups — too many to draw. Only its 97 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 |
|---|---|---|
| 2. C2×#15688940 | C2 | semidirect |
| 4. #20245109 | C2 | semidirect |
| 6. #20244136 | C2 | semidirect |
| 7. C47×#1376 | C2 | semidirect |
| 161. #1376 | D47 | semidirect |
| 184. C47 | #13414 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#15689507 | 2 |
| C2×#15688940 | 2 |
| C2×#15688937 | 2 |
| #20245109 | 2 |
| #20245105 | 2 |
| #20244136 | 2 |
| C47×#1376 | 2 |
| #13414 | 47 |