Finite Group DatabasebetaFinite Group DatabasebetaOrder 3712.
152 conjugacy classes of subgroups; only the 93 normal subgroups are shown.
This group has 152 conjugacy classes of subgroups — too many to draw. Only its 93 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 |
|---|---|---|
| 3. #14270986 | C2 | direct (N × H) |
| 8. C29×M32 | C4 | semidirect |
| 10. C2×C16×C29 | C4 | semidirect |
| 28. C16×C29 | C2×C4 | semidirect |
| 59. C2×C29 | #365 | semidirect |
| 64. M32 | Dic29 | semidirect |
| 66. C2×C16 | Dic29 | semidirect |
| 71. C29 | C2×#365 | semidirect |
| 85. C16 | C2×Dic29 | semidirect |
| 111. C2 | #14270986 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11745167 | 2 |
| C2×#11745165 | 2 |
| #14270986 | 2 |
| C2×C29×M32 | 2 |
| C2×#365 | 29 |