Finite Group DatabasebetaFinite Group DatabasebetaOrder 3712.
848 conjugacy classes of subgroups; only the 133 normal subgroups are shown.
This group has 848 conjugacy classes of subgroups — too many to draw. Only its 133 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×C22⋊#6597 | C2 | semidirect |
| 4. C29×#380 | C2 | semidirect |
| 10. C22×D116 | C4 | semidirect |
| 12. C2×C4⋊C4×C29 | C22 | semidirect |
| 14. C22×#6597 | C22 | semidirect |
| 72. D116 | C22⋊C4 | semidirect |
| 79. C22×C29 | #102 | semidirect |
| 98. #380 | D29 | semidirect |
| 114. C2×C4⋊C4 | C2×D29 | semidirect |
| 119. C29 | #1786 | semidirect |
| 186. C22 | #11745157 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C23×D116 | 2 |
| C2×#11745157 | 2 |
| C2×C22⋊#6597 | 2 |
| C29×#380 | 2 |
| #1786 | 29 |