Finite Group DatabasebetaFinite Group DatabasebetaOrder 3712.
328 conjugacy classes of subgroups; only the 205 normal subgroups are shown.
This group has 328 conjugacy classes of subgroups — too many to draw. Only its 205 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 |
|---|---|---|
| 11. C4×C8×C29 | C4 | semidirect |
| 13. #11745163 | C4 | semidirect |
| 14. C8×Dic29 | C4 | semidirect |
| 15. #11745151 | C4 | semidirect |
| 67. C4×C8 | Dic29 | semidirect |
| 69. C29 | #1726 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11745151 | 2 |
| C2×#11745163 | 2 |
| C2×C8×Dic29 | 2 |
| #14271009 | 2 |
| C2×C4×C8×C29 | 2 |
| #1726 | 29 |