Finite Group DatabasebetaFinite Group DatabasebetaOrder 12032.
216 conjugacy classes of subgroups; only the 57 normal subgroups are shown.
This group has 216 conjugacy classes of subgroups — too many to draw. Only its 57 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. #20245701 | C2 | semidirect |
| 2. #20245270 | C2 | semidirect |
| 3. #20241586 | C2 | semidirect |
| 4. #20241578 | C2 | semidirect |
| 5. C47×#2246 | C2 | semidirect |
| 19. Dic376 | D4 | semidirect |
| 21. D752 | D4 | semidirect |
| 78. #2246 | D47 | semidirect |
| 97. C47 | #13692 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20245701 | 2 |
| #20245270 | 2 |
| #20241586 | 2 |
| #20241578 | 2 |
| C47×#2246 | 2 |
| #13692 | 47 |