Finite Group DatabasebetaFinite Group DatabasebetaOrder 12032.
292 conjugacy classes of subgroups; only the 79 normal subgroups are shown.
This group has 292 conjugacy classes of subgroups — too many to draw. Only its 79 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 |
|---|---|---|
| 4. #20243511 | C2 | semidirect |
| 5. #20241501 | C2 | semidirect |
| 6. #20241473 | C2 | semidirect |
| 7. C47×#1389 | C2 | semidirect |
| 128. #1389 | D47 | semidirect |
| 149. C47 | #13490 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#15688937 | 2 |
| #20245103 | 2 |
| #20244296 | 2 |
| #20243511 | 2 |
| #20241501 | 2 |
| #20241473 | 2 |
| C47×#1389 | 2 |
| #13490 | 47 |