Finite Group DatabasebetaFinite Group DatabasebetaOrder 3712.
380 conjugacy classes of subgroups; only the 123 normal subgroups are shown.
This group has 380 conjugacy classes of subgroups — too many to draw. Only its 123 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 |
|---|---|---|
| 5. #14271446 | C2 | semidirect |
| 6. #14271371 | C2 | semidirect |
| 8. #14271270 | C2 | semidirect |
| 9. #14271267 | C2 | semidirect |
| 170. C29 | #3113 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14271715 | 2 |
| C2×Q8×Dic29 | 2 |
| #14271494 | 2 |
| #14271491 | 2 |
| #14271446 | 2 |
| #14271371 | 2 |
| #14271319 | 2 |
| #14271270 | 2 |
| #14271267 | 2 |
| #14271217 | 2 |
| C29×#451 | 2 |
| #3113 | 29 |