Finite Group DatabasebetaFinite Group DatabasebetaOrder 3712.
408 conjugacy classes of subgroups; only the 74 normal subgroups are shown.
This group has 408 conjugacy classes of subgroups — too many to draw. Only its 74 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×#11745227 | C2 | semidirect |
| 2. #14272105 | C2 | semidirect |
| 3. C4×C22⋊#1181 | C2 | semidirect |
| 5. C22×D4×C29 | C4 | semidirect |
| 12. C2×C22⋊Dic29 | C4 | semidirect |
| 17. C2×C4⋊Dic29 | C4 | semidirect |
| 42. C22⋊#1181 | D4 | semidirect |
| 104. C4×C29 | #99 | semidirect |
| 121. C22×D4 | #1181 | semidirect |
| 136. C29 | #1964 | semidirect |
| 222. C4 | #11745227 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11745227 | 2 |
| #14272105 | 2 |
| C4×C22⋊#1181 | 2 |
| C2×#11745300 | 2 |
| #1964 | 29 |