Finite Group DatabasebetaFinite Group DatabasebetaOrder 3712.
436 conjugacy classes of subgroups; only the 145 normal subgroups are shown.
This group has 436 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 |
|---|---|---|
| 1. C2×#11745180 | C2 | semidirect |
| 2. C2×C4×#6597 | C2 | semidirect |
| 3. #14271033 | C2 | semidirect |
| 8. C29×#127 | C4 | semidirect |
| 32. C2×#6597 | D4 | semidirect |
| 63. C4×C29 | #102 | semidirect |
| 81. #127 | Dic29 | semidirect |
| 87. C29 | #1957 | semidirect |
| 136. C4 | #11745180 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11745180 | 2 |
| C2×C4×#6597 | 2 |
| #14271033 | 2 |
| C2×C29×#127 | 2 |
| #1957 | 29 |