Finite Group DatabasebetaFinite Group DatabasebetaOrder 3712.
328 conjugacy classes of subgroups; only the 158 normal subgroups are shown.
This group has 328 conjugacy classes of subgroups — too many to draw. Only its 158 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 |
|---|---|---|
| 12. C4×#6599 | C4 | semidirect |
| 13. #11745208 | C4 | semidirect |
| 14. C8×#1181 | C4 | semidirect |
| 15. C29×#97 | C4 | semidirect |
| 16. #11745163 | C4 | semidirect |
| 17. #11745151 | C4 | semidirect |
| 74. #97 | #1181 | semidirect |
| 78. C29 | #1726 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11745208 | 2 |
| C4×D29⋊C8 | 2 |
| C2×C8×#1181 | 2 |
| #14272099 | 2 |
| #97×D29 | 2 |
| #1726 | 29 |