Finite Group DatabasebetaFinite Group DatabasebetaOrder 3712.
140 conjugacy classes of subgroups; only the 56 normal subgroups are shown.
This group has 140 conjugacy classes of subgroups — too many to draw. Only its 56 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 |
|---|---|---|
| 7. C2×#90770 | C4 | semidirect |
| 12. C2×C16×C29 | C4 | semidirect |
| 13. C2×#90768 | C4 | semidirect |
| 75. C2×C16 | #1181 | semidirect |
| 78. C29 | #1375 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11745206 | 2 |
| C2×#11745208 | 2 |
| C2×#11745146 | 2 |
| #1375 | 29 |