Finite Group DatabasebetaFinite Group DatabasebetaOrder 3712.
484 conjugacy classes of subgroups; only the 249 normal subgroups are shown.
This group has 484 conjugacy classes of subgroups — too many to draw. Only its 249 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 |
|---|---|---|
| 8. C29×#125 | C4 | semidirect |
| 71. Dic29 | #125 | direct (N × H) |
| 84. #125 | Dic29 | direct (N × H) |
| 98. C29 | C4×#125 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14271062 | 2 |
| #14271049 | 2 |
| #14271029 | 2 |
| C4⋊C4×Dic29 | 2 |
| C42×Dic29 | 2 |
| C2×C29×#125 | 2 |
| C4×#125 | 29 |