Finite Group DatabasebetaFinite Group DatabasebetaOrder 3712.
612 conjugacy classes of subgroups; only the 86 normal subgroups are shown.
This group has 612 conjugacy classes of subgroups — too many to draw. Only its 86 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. C2×#11745227 | C2 | semidirect |
| 2. #14272106 | C2 | semidirect |
| 4. C22×D4×C29 | C4 | semidirect |
| 6. C23×Dic29 | C4 | semidirect |
| 10. C22×Dic58 | C4 | semidirect |
| 83. C22×D4 | #1181 | semidirect |
| 89. C29 | #1782 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11745227 | 2 |
| #14272106 | 2 |
| C22×#90807 | 2 |
| #1782 | 29 |