Finite Group DatabasebetaFinite Group DatabasebetaOrder 12032.
232 conjugacy classes of subgroups; only the 57 normal subgroups are shown.
This group has 232 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. C2×D1504 | C2 | semidirect |
| 2. C2×#15688958 | C2 | semidirect |
| 3. #20245636 | C2 | semidirect |
| 4. #20245234 | C2 | semidirect |
| 5. Dic47⋊C32 | C2 | semidirect |
| 6. #20241565 | C2 | semidirect |
| 7. C47×#1415 | C2 | semidirect |
| 29. D752 | D4 | semidirect |
| 96. Dic47 | D32 | semidirect |
| 103. #1415 | D47 | semidirect |
| 123. C47 | #13685 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×D1504 | 2 |
| C2×#15688958 | 2 |
| #20245636 | 2 |
| #20245234 | 2 |
| Dic47⋊C32 | 2 |
| #20241565 | 2 |
| C47×#1415 | 2 |
| #13685 | 47 |