Finite Group DatabasebetaFinite Group DatabasebetaOrder 3712.
324 conjugacy classes of subgroups; only the 88 normal subgroups are shown.
This group has 324 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 |
|---|---|---|
| 9. C29×C4⋊Q8 | C4 | semidirect |
| 10. #11745306 | C4 | semidirect |
| 16. #11745231 | C4 | semidirect |
| 78. C4×C29 | #103 | semidirect |
| 82. Dic29 | #103 | semidirect |
| 100. C4⋊Q8 | #1181 | semidirect |
| 110. C29 | #1981 | semidirect |
| 172. C4 | #11745225 | 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×#11745225 | 2 |
| C4×C4⋊#1181 | 2 |
| C4⋊Q8×D29 | 2 |
| #1981 | 29 |