Finite Group DatabasebetaFinite Group DatabasebetaOrder 3712.
200 conjugacy classes of subgroups; only the 78 normal subgroups are shown.
This group has 200 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 |
|---|---|---|
| 11. #11745208 | C4 | semidirect |
| 12. C8×#1181 | C4 | semidirect |
| 13. C4×C8×C29 | C4 | semidirect |
| 14. #11745163 | C4 | semidirect |
| 15. C8×Dic29 | C4 | semidirect |
| 16. #11745151 | C4 | semidirect |
| 77. C4×C8 | #1181 | semidirect |
| 78. C29 | #1747 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14272126 | 2 |
| #14272032 | 2 |
| #14272031 | 2 |
| #14272030 | 2 |
| #14271117 | 2 |
| #1747 | 29 |