Finite Group DatabasebetaFinite Group DatabasebetaOrder 3712.
564 conjugacy classes of subgroups; only the 165 normal subgroups are shown.
This group has 564 conjugacy classes of subgroups — too many to draw. Only its 165 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×#11745266 | C2 | semidirect |
| 2. #14271713 | C2 | semidirect |
| 3. #14271557 | C2 | semidirect |
| 4. #14271552 | C2 | semidirect |
| 5. C2×C29×#97 | C2 | semidirect |
| 27. C2×C8×C29 | D4 | semidirect |
| 64. C2×#97 | D29 | semidirect |
| 82. C29 | #3150 | semidirect |
| 94. C2×C8 | D116 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11745266 | 2 |
| #14271713 | 2 |
| #14271557 | 2 |
| #14271552 | 2 |
| C2×C29×#97 | 2 |
| #3150 | 29 |