Finite Group DatabasebetaFinite Group DatabasebetaOrder 3712.
228 conjugacy classes of subgroups; only the 54 normal subgroups are shown.
This group has 228 conjugacy classes of subgroups — too many to draw. Only its 54 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 |
|---|---|---|
| 7. C2×D29⋊C8 | C4 | semidirect |
| 11. (C2×#1181)⋊C4 | C4 | semidirect |
| 13. C29×#95 | C4 | semidirect |
| 14. #11745179 | C4 | semidirect |
| 110. #95 | #1181 | semidirect |
| 111. C29 | #1289 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| D29⋊(C22⋊C8) | 2 |
| #14272105 | 2 |
| #14271022 | 2 |
| #1289 | 29 |