Finite Group DatabasebetaFinite Group DatabasebetaOrder 3712.
260 conjugacy classes of subgroups; only the 78 normal subgroups are shown.
This group has 260 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 |
|---|---|---|
| 9. C29×#125 | C4 | semidirect |
| 14. #11745252 | C4 | semidirect |
| 15. #11745252 | C4 | semidirect |
| 19. #11745232 | C4 | semidirect |
| 109. #125 | #1181 | semidirect |
| 120. C29 | #1989 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| D29⋊(C4⋊C8) | 2 |
| C4×C4⋊#1181 | 2 |
| #14272036 | 2 |
| #125×D29 | 2 |
| #1989 | 29 |