Finite Group DatabasebetaFinite Group DatabasebetaOrder 3712.
150 conjugacy classes of subgroups; only the 53 normal subgroups are shown.
This group has 150 conjugacy classes of subgroups — too many to draw. Only its 53 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. #14270988 | C2 | semidirect |
| 3. #14270963 | C2 | semidirect |
| 4. C22⋊#90768 | C2 | semidirect |
| 5. C2×C29×#107 | C2 | semidirect |
| 56. C2×#107 | D29 | semidirect |
| 74. C29 | #2232 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14271399 | 2 |
| #14270988 | 2 |
| #14270963 | 2 |
| C22⋊#90768 | 2 |
| C2×C29×#107 | 2 |
| #2232 | 29 |