Finite Group DatabasebetaFinite Group DatabasebetaOrder 3712.
280 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 280 conjugacy classes of subgroups — too many to draw. Only its 141 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 |
|---|---|---|
| 12. C29×#107 | C4 | semidirect |
| 14. #11745166 | C4 | semidirect |
| 15. C8×Dic29 | C4 | semidirect |
| 53. C8×C29 | C42 | semidirect |
| 70. Dic29 | #107 | direct (N × H) |
| 90. #107 | Dic29 | direct (N × H) |
| 93. C29 | C4×#107 | semidirect |
| 132. C8 | C4×Dic29 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11745166 | 2 |
| C2×C8×Dic29 | 2 |
| C4⋊C4×Dic29 | 2 |
| #14270925 | 2 |
| C2×C29×#107 | 2 |
| C4×#107 | 29 |