Finite Group DatabasebetaFinite Group DatabasebetaOrder 3712.
136 conjugacy classes of subgroups; only the 50 normal subgroups are shown.
This group has 136 conjugacy classes of subgroups — too many to draw. Only its 50 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 |
|---|---|---|
| 8. #11745211 | C4 | semidirect |
| 11. C29×M32 | C4 | semidirect |
| 12. #11745160 | C4 | semidirect |
| 68. M32 | #1181 | semidirect |
| 74. C29 | #1387 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| D29⋊#108 | 2 |
| C2×#11745210 | 2 |
| M32×D29 | 2 |
| #1387 | 29 |