Finite Group DatabasebetaFinite Group DatabasebetaOrder 12032.
542 conjugacy classes of subgroups; only the 95 normal subgroups are shown.
This group has 542 conjugacy classes of subgroups — too many to draw. Only its 95 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×#15689529 | C2 | semidirect |
| 4. C2×#15688864 | C2 | semidirect |
| 6. #20241269 | C2 | semidirect |
| 7. C47×#1960 | C2 | semidirect |
| 189. #1960 | D47 | semidirect |
| 222. C47 | #10086 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#15689529 | 2 |
| C2×#15689485 | 2 |
| #20251440 | 2 |
| C2×#15688864 | 2 |
| C2×#15688862 | 2 |
| #20241269 | 2 |
| C47×#1960 | 2 |
| #10086 | 47 |