Finite Group DatabasebetaFinite Group DatabasebetaOrder 12032.
594 conjugacy classes of subgroups; only the 119 normal subgroups are shown.
This group has 594 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 |
|---|---|---|
| 3. C2×#15689501 | C2 | semidirect |
| 4. C2×#15688926 | C2 | semidirect |
| 6. #20241465 | C2 | semidirect |
| 7. C2×C47×#358 | C2 | semidirect |
| 154. C2×Dic47 | SD32 | semidirect |
| 191. C2×#358 | D47 | semidirect |
| 221. C47 | #13327 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×#13093969 | 2 |
| C22×#13093967 | 2 |
| C2×#15689501 | 2 |
| C2×#15688926 | 2 |
| #20244252 | 2 |
| #20241465 | 2 |
| C2×C47×#358 | 2 |
| #13327 | 47 |