Finite Group DatabasebetaFinite Group DatabasebetaOrder 3712.
628 conjugacy classes of subgroups; only the 325 normal subgroups are shown.
This group has 628 conjugacy classes of subgroups — too many to draw. Only its 325 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 |
|---|---|---|
| 20. #11745249 | C4 | semidirect |
| 21. C4×Dic58 | C4 | semidirect |
| 69. Dic58 | C42 | semidirect |
| 115. C29 | #2276 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×C4×Dic58 | 2 |
| C2×#11745249 | 2 |
| C4⋊C4×Dic29 | 2 |
| C4×#90779 | 2 |
| #14271014 | 2 |
| #14271009 | 2 |
| #14271008 | 2 |
| C4×C4⋊C4×C29 | 2 |
| #2276 | 29 |