Finite Group DatabasebetaFinite Group DatabasebetaOrder 12032.
528 conjugacy classes of subgroups; only the 135 normal subgroups are shown.
This group has 528 conjugacy classes of subgroups — too many to draw. Only its 135 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×#15689161 | C2 | semidirect |
| 2. C2×#15688933 | C2 | semidirect |
| 3. #20244999 | C2 | semidirect |
| 4. #20241493 | C2 | semidirect |
| 16. C47×#467 | C4 | semidirect |
| 17. C47×#466 | C4 | semidirect |
| 31. #13093956 | D4 | semidirect |
| 168. #467 | Dic47 | semidirect |
| 169. #466 | Dic47 | semidirect |
| 178. C47 | #13002 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#15689161 | 2 |
| C2×#15688933 | 2 |
| #20244999 | 2 |
| #20241493 | 2 |
| C47×#3050 | 2 |
| #13002 | 47 |