Finite Group DatabasebetaFinite Group DatabasebetaOrder 3712.
160 conjugacy classes of subgroups; only the 55 normal subgroups are shown.
This group has 160 conjugacy classes of subgroups — too many to draw. Only its 55 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. #14271561 | C2 | semidirect |
| 5. #14270911 | C2 | semidirect |
| 6. #14270910 | C2 | semidirect |
| 7. C29×#335 | C2 | semidirect |
| 58. C8×C29 | SD16 | semidirect |
| 77. #335 | D29 | semidirect |
| 99. C29 | #1691 | semidirect |
| 136. C8 | #90773 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14271561 | 2 |
| #14271454 | 2 |
| #14271369 | 2 |
| #14271242 | 2 |
| #14270911 | 2 |
| #14270910 | 2 |
| C29×#335 | 2 |
| #1691 | 29 |