Finite Group DatabasebetaFinite Group DatabasebetaOrder 3712.
260 conjugacy classes of subgroups; only the 101 normal subgroups are shown.
This group has 260 conjugacy classes of subgroups — too many to draw. Only its 101 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 |
|---|---|---|
| 5. C29×C4⋊Q8 | C4 | semidirect |
| 6. C29×C4⋊Q8 | C4 | semidirect |
| 7. C29×#125 | C4 | semidirect |
| 41. #90777 | Q8 | semidirect |
| 87. C4⋊Q8 | Dic29 | semidirect |
| 88. C4⋊Q8 | Dic29 | semidirect |
| 89. #125 | Dic29 | semidirect |
| 101. C29 | #1986 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C4×#90777 | 2 |
| C4×C4⋊Dic29 | 2 |
| #14270922 | 2 |
| C29×#533 | 2 |
| #1986 | 29 |