Finite Group DatabasebetaFinite Group DatabasebetaOrder 12032.
386 conjugacy classes of subgroups; only the 109 normal subgroups are shown.
This group has 386 conjugacy classes of subgroups — too many to draw. Only its 109 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. #20245182 | C2 | semidirect |
| 5. #20241500 | C2 | semidirect |
| 6. #20241499 | C2 | semidirect |
| 7. C47×#2161 | C2 | semidirect |
| 138. #2161 | D47 | semidirect |
| 164. C47 | #12924 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#15689170 | 2 |
| #20245182 | 2 |
| C2×#15688904 | 2 |
| #20243427 | 2 |
| #20241500 | 2 |
| #20241499 | 2 |
| C47×#2161 | 2 |
| #12924 | 47 |