Finite Group DatabasebetaFinite Group DatabasebetaOrder 3712.
1104 conjugacy classes of subgroups; only the 210 normal subgroups are shown.
This group has 1104 conjugacy classes of subgroups — too many to draw. Only its 210 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×#11745345 | C2 | semidirect |
| 2. #14272115 | C2 | semidirect |
| 3. #14272104 | C2 | semidirect |
| 6. C22×D4×C29 | C4 | semidirect |
| 7. C22×C22⋊D29 | C4 | semidirect |
| 9. C2×D4×D29 | C4 | semidirect |
| 11. C22×D116 | C4 | semidirect |
| 14. C2×C22⋊#1181 | C22 | semidirect |
| 16. C2×C4⋊#1181 | C22 | semidirect |
| 17. C2×C4×#1181 | C22 | semidirect |
| 63. C2×C4×C29 | C22⋊C4 | semidirect |
| 66. C2×Dic29 | C22⋊C4 | semidirect |
| 69. C4×D29 | C22⋊C4 | semidirect |
| 109. C22×D4 | #1181 | semidirect |
| 116. C29 | #2309 | semidirect |
| 169. C2×C4 | C22⋊#1181 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11745345 | 2 |
| #14272115 | 2 |
| #14272104 | 2 |
| C22×D4×D29 | 2 |
| #2309 | 29 |