Finite Group DatabasebetaFinite Group DatabasebetaOrder 12032.
462 conjugacy classes of subgroups; only the 117 normal subgroups are shown.
This group has 462 conjugacy classes of subgroups — too many to draw. Only its 117 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 |
|---|---|---|
| 156. Dic47 | #362 | semidirect |
| 186. C47 | #13256 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#15689501 | 2 |
| #20245143 | 2 |
| C2×#15688940 | 2 |
| C2×#15688939 | 2 |
| C2×#15688938 | 2 |
| #108×Dic47 | 2 |
| C2×C47×#362 | 2 |
| #13256 | 47 |