Finite Group DatabasebetaFinite Group DatabasebetaOrder 3712.
356 conjugacy classes of subgroups; only the 145 normal subgroups are shown.
This group has 356 conjugacy classes of subgroups — too many to draw. Only its 145 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 |
|---|---|---|
| 2. #14271568 | C2 | semidirect |
| 3. #14271564 | C2 | semidirect |
| 4. #14271559 | C2 | semidirect |
| 7. C29×#500 | C2 | semidirect |
| 43. C8×D29 | Q8 | semidirect |
| 75. #500 | D29 | semidirect |
| 100. C29 | #3160 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14271718 | 2 |
| #14271568 | 2 |
| #14271564 | 2 |
| #14271559 | 2 |
| #14271200 | 2 |
| C4×C8×D29 | 2 |
| C29×#500 | 2 |
| #3160 | 29 |