Finite Group DatabasebetaFinite Group DatabasebetaOrder 12032.
446 conjugacy classes of subgroups; only the 119 normal subgroups are shown.
This group has 446 conjugacy classes of subgroups — too many to draw. Only its 119 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. #20245143 | C2 | semidirect |
| 5. #20243543 | C2 | semidirect |
| 6. #20241493 | C2 | semidirect |
| 7. C47×#1386 | C2 | semidirect |
| 11. #15689217 | C4 | semidirect |
| 13. #15689205 | C4 | semidirect |
| 99. Dic188 | C4⋊C4 | semidirect |
| 101. D376 | C4⋊C4 | semidirect |
| 153. Dic47 | #360 | semidirect |
| 160. #1386 | D47 | semidirect |
| 183. C47 | #12816 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20252159 | 2 |
| #20245143 | 2 |
| C2×#15688934 | 2 |
| C2×#15688932 | 2 |
| #20243543 | 2 |
| #20241493 | 2 |
| C47×#1386 | 2 |
| #12816 | 47 |