Finite Group DatabasebetaFinite Group DatabasebetaOrder 12032.
270 conjugacy classes of subgroups; only the 79 normal subgroups are shown.
This group has 270 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 |
|---|---|---|
| 1. C2×#15688958 | C2 | semidirect |
| 2. #20245638 | C2 | semidirect |
| 3. C4×C47⋊C32 | C2 | semidirect |
| 4. C47×#2246 | C2 | semidirect |
| 19. C47⋊C32 | D4 | semidirect |
| 62. C4×C47 | D32 | semidirect |
| 67. #2246 | D47 | semidirect |
| 82. C47 | #13725 | semidirect |
| 130. C4 | #15688958 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#15688958 | 2 |
| #20245638 | 2 |
| C4×C47⋊C32 | 2 |
| C47×#2246 | 2 |
| #13725 | 47 |