Finite Group DatabasebetaFinite Group DatabasebetaOrder 3712.
376 conjugacy classes of subgroups; only the 105 normal subgroups are shown.
This group has 376 conjugacy classes of subgroups — too many to draw. Only its 105 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 |
|---|---|---|
| 2. C2×#11745157 | C2 | semidirect |
| 3. C2×#11745163 | C2 | semidirect |
| 4. #14271064 | C2 | semidirect |
| 5. C2×C29×#106 | C2 | semidirect |
| 14. C2×D232 | C4 | semidirect |
| 60. C8×C29 | C22⋊C4 | semidirect |
| 79. C2×#106 | D29 | semidirect |
| 100. C29 | #1972 | semidirect |
| 144. C8 | #90781 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×D232 | 2 |
| C2×#11745157 | 2 |
| C2×#11745163 | 2 |
| #14271064 | 2 |
| C2×C29×#106 | 2 |
| #1972 | 29 |