Finite Group DatabasebetaFinite Group DatabasebetaOrder 3712.
186 conjugacy classes of subgroups; only the 61 normal subgroups are shown.
This group has 186 conjugacy classes of subgroups — too many to draw. Only its 61 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. #14271568 | C2 | semidirect |
| 3. #14271514 | C2 | semidirect |
| 4. #14271514 | C2 | semidirect |
| 7. C29×#322 | C2 | semidirect |
| 71. #322 | D29 | semidirect |
| 89. C29 | #1719 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14271568 | 2 |
| #14271536 | 2 |
| #14271514 | 2 |
| #14271510 | 2 |
| C29×#322 | 2 |
| #1719 | 29 |