Finite Group DatabasebetaFinite Group DatabasebetaOrder 3712.
304 conjugacy classes of subgroups; only the 78 normal subgroups are shown.
This group has 304 conjugacy classes of subgroups — too many to draw. Only its 78 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 |
|---|---|---|
| 10. C2×Q16×C29 | C4 | semidirect |
| 11. C2×#90785 | C4 | semidirect |
| 14. C2×Dic116 | C4 | semidirect |
| 96. C2×Q16 | #1181 | semidirect |
| 105. C29 | #1971 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11745209 | 2 |
| C2×#11745225 | 2 |
| C2×#11745208 | 2 |
| (C2×#1181)⋊Q8 | 2 |
| C2×Q16×D29 | 2 |
| #1971 | 29 |