Finite Group DatabasebetaFinite Group DatabasebetaOrder 3712.
176 conjugacy classes of subgroups; only the 61 normal subgroups are shown.
This group has 176 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 |
|---|---|---|
| 84. C29 | #1716 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14271561 | 2 |
| #14271559 | 2 |
| #14271542 | 2 |
| #14271515 | 2 |
| #14270885 | 2 |
| C29×#487 | 2 |
| #1716 | 29 |