Finite Group DatabasebetaFinite Group DatabasebetaOrder 3712.
428 conjugacy classes of subgroups; only the 88 normal subgroups are shown.
This group has 428 conjugacy classes of subgroups — too many to draw. Only its 88 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. D29⋊(C4⋊C8) | C2 | semidirect |
| 2. C2×#11745223 | C2 | semidirect |
| 3. C4×C4⋊#1181 | C2 | semidirect |
| 11. C29×#127 | C4 | semidirect |
| 14. #11745302 | C4 | semidirect |
| 15. #11745236 | C4 | semidirect |
| 42. C4⋊#1181 | D4 | semidirect |
| 97. C4×C29 | #102 | semidirect |
| 100. Dic29 | #102 | semidirect |
| 122. #127 | #1181 | semidirect |
| 130. C29 | #1982 | semidirect |
| 210. C4 | #11745223 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| D29⋊(C4⋊C8) | 2 |
| C2×#11745223 | 2 |
| C4×C4⋊#1181 | 2 |
| #127×D29 | 2 |
| #1982 | 29 |