Finite Group DatabasebetaFinite Group DatabasebetaOrder 3712.
336 conjugacy classes of subgroups; only the 78 normal subgroups are shown.
This group has 336 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 |
|---|---|---|
| 1. C2×#11745225 | C2 | semidirect |
| 3. C4×D29⋊C8 | C2 | semidirect |
| 4. #14272107 | C2 | semidirect |
| 10. C29×#124 | C4 | semidirect |
| 11. #11745309 | C4 | semidirect |
| 12. #11745298 | C4 | semidirect |
| 15. #11745237 | C4 | semidirect |
| 110. #124 | #1181 | semidirect |
| 118. C29 | #1958 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11745225 | 2 |
| C2×#11745223 | 2 |
| C4×D29⋊C8 | 2 |
| #14272107 | 2 |
| #124×D29 | 2 |
| #1958 | 29 |