Finite Group DatabasebetaFinite Group DatabasebetaOrder 3712.
166 conjugacy classes of subgroups; only the 55 normal subgroups are shown.
This group has 166 conjugacy classes of subgroups — too many to draw. Only its 55 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. C4⋊#90768 | C2 | semidirect |
| 4. #14270967 | C2 | semidirect |
| 5. C29×#494 | C2 | semidirect |
| 53. C4×C29 | SD32 | semidirect |
| 58. #494 | D29 | semidirect |
| 76. C29 | #2208 | semidirect |
| 114. C4 | #11745176 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11745176 | 2 |
| C4×D232 | 2 |
| C4⋊#90768 | 2 |
| #14270967 | 2 |
| C29×#494 | 2 |
| #2208 | 29 |