Finite Group DatabasebetaFinite Group DatabasebetaOrder 12032.
378 conjugacy classes of subgroups; only the 101 normal subgroups are shown.
This group has 378 conjugacy classes of subgroups — too many to draw. Only its 101 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. #20241496 | C2 | semidirect |
| 5. #20241483 | C2 | semidirect |
| 6. #20241477 | C2 | semidirect |
| 7. C47×#3164 | C2 | semidirect |
| 31. C2×D376 | Q8 | semidirect |
| 153. #3164 | D47 | semidirect |
| 183. C47 | #13369 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20245103 | 2 |
| C2×#15688923 | 2 |
| #20244298 | 2 |
| #20241496 | 2 |
| #20241483 | 2 |
| #20241477 | 2 |
| C47×#3164 | 2 |
| #13369 | 47 |