Finite Group DatabasebetaFinite Group DatabasebetaOrder 3712.
484 conjugacy classes of subgroups; only the 229 normal subgroups are shown.
This group has 484 conjugacy classes of subgroups — too many to draw. Only its 229 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 |
|---|---|---|
| 18. #11745232 | C4 | direct (N × H) |
| 69. C4×C29 | #125 | semidirect |
| 98. C29 | C4×#125 | semidirect |
| 147. C4 | #11745232 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11745232 | 2 |
| #14271061 | 2 |
| #14271047 | 2 |
| #14271029 | 2 |
| C4×#90779 | 2 |
| C4×C4⋊Dic29 | 2 |
| C43×C29 | 2 |
| C4×#125 | 29 |