Finite Group DatabasebetaFinite Group DatabasebetaOrder 3712.
292 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 292 conjugacy classes of subgroups — too many to draw. Only its 125 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 |
|---|---|---|
| 13. #11745231 | C4 | semidirect |
| 25. C4⋊C4×C29 | Q8 | semidirect |
| 85. C29 | #1988 | semidirect |
| 100. C4⋊C4 | Dic58 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11745231 | 2 |
| C2×C4⋊#6597 | 2 |
| #14270925 | 2 |
| C4×C4⋊C4×C29 | 2 |
| #1988 | 29 |