Finite Group DatabasebetaFinite Group DatabasebetaOrder 12032.
366 conjugacy classes of subgroups; only the 123 normal subgroups are shown.
This group has 366 conjugacy classes of subgroups — too many to draw. Only its 123 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 |
|---|---|---|
| 2. C2×#15688953 | C2 | semidirect |
| 4. #20241496 | C2 | semidirect |
| 5. C2×C47×#366 | C2 | semidirect |
| 8. #15689539 | C4 | semidirect |
| 119. C2×#366 | D47 | semidirect |
| 142. C47 | #12842 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#15689539 | 2 |
| C2×#15688953 | 2 |
| #20243453 | 2 |
| #20241496 | 2 |
| C2×C47×#366 | 2 |
| #12842 | 47 |