Finite Group DatabasebetaFinite Group DatabasebetaOrder 3712.
3464 conjugacy classes of subgroups; only the 549 normal subgroups are shown.
This group has 3464 conjugacy classes of subgroups — too many to draw. Only its 549 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. C22×C22⋊Dic29 | C2 | semidirect |
| 2. #14271019 | C2 | direct (N × H) |
| 5. C25×C29 | C4 | semidirect |
| 8. C23×Dic29 | C22 | semidirect |
| 10. C2×C22⋊Dic29 | C22 | semidirect |
| 16. C24×C29 | C2×C4 | semidirect |
| 21. C22×Dic29 | C23 | semidirect |
| 29. C23×C29 | C22⋊C4 | semidirect |
| 43. C22×C29 | C2×C22⋊C4 | semidirect |
| 52. C2×C29 | #379 | semidirect |
| 56. C25 | Dic29 | semidirect |
| 62. C29 | C2×#379 | semidirect |
| 68. C24 | C2×Dic29 | semidirect |
| 81. C23 | C22⋊Dic29 | semidirect |
| 94. C22 | C2×C22⋊Dic29 | semidirect |
| 100. C2 | #14271019 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×C22⋊Dic29 | 2 |
| #14271019 | 2 |
| C26×C29 | 2 |
| C2×#379 | 29 |