Finite Group DatabasebetaFinite Group DatabasebetaOrder 12032.
960 conjugacy classes of subgroups; only the 205 normal subgroups are shown.
This group has 960 conjugacy classes of subgroups — too many to draw. Only its 205 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. #430×D47 | C2 | semidirect |
| 3. #20244790 | C2 | semidirect |
| 4. #20244788 | C2 | semidirect |
| 5. #20244786 | C2 | semidirect |
| 6. #338×D47 | C2 | semidirect |
| 7. C47×#2069 | C2 | semidirect |
| 149. #2069 | D47 | semidirect |
| 173. C47 | #23622 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #430×D47 | 2 |
| C2×#15689104 | 2 |
| #20244790 | 2 |
| #20244788 | 2 |
| #20244786 | 2 |
| #338×D47 | 2 |
| C47×#2069 | 2 |
| #23622 | 47 |