Finite Group DatabasebetaFinite Group DatabasebetaOrder 3712.
138 conjugacy classes of subgroups; only the 47 normal subgroups are shown.
This group has 138 conjugacy classes of subgroups — too many to draw. Only its 47 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 |
|---|---|---|
| 1. #14271564 | C2 | semidirect |
| 3. #14270967 | C2 | semidirect |
| 6. C16×Dic29 | C2 | semidirect |
| 7. C29×#358 | C2 | semidirect |
| 66. #358 | D29 | semidirect |
| 85. C29 | #2242 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14271564 | 2 |
| #14271548 | 2 |
| #14270967 | 2 |
| #14270965 | 2 |
| #14270963 | 2 |
| C16×Dic29 | 2 |
| C29×#358 | 2 |
| #2242 | 29 |