Finite Group DatabasebetaFinite Group DatabasebetaOrder 3712.
184 conjugacy classes of subgroups; only the 96 normal subgroups are shown.
This group has 184 conjugacy classes of subgroups — too many to draw. Only its 96 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 |
|---|---|---|
| 3. #14272050 | C2 | semidirect |
| 4. C16×#1181 | C2 | semidirect |
| 9. #11745214 | C4 | semidirect |
| 12. #11745206 | C4 | semidirect |
| 14. C2×C16×C29 | C4 | semidirect |
| 15. C2×#90768 | C4 | semidirect |
| 16. C16×D29 | C4 | semidirect |
| 17. C16×D29 | C4 | semidirect |
| 81. C2×C16 | #1181 | semidirect |
| 84. C29 | #2108 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| D29⋊M32 | 2 |
| #14272126 | 2 |
| #14272050 | 2 |
| C16×#1181 | 2 |
| C2×C16×D29 | 2 |
| #2108 | 29 |