Finite Group DatabasebetaFinite Group DatabasebetaOrder 4544.
106 conjugacy classes of subgroups; only the 37 normal subgroups are shown.
This group has 106 conjugacy classes of subgroups — too many to draw. Only its 37 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 |
|---|---|---|
| 2. #14556086 | C2 | semidirect |
| 3. #14556061 | C2 | semidirect |
| 4. #14556050 | C2 | semidirect |
| 5. #14556048 | C2 | semidirect |
| 6. (C2×D71)⋊C8 | C2 | semidirect |
| 7. #106×C71 | C2 | semidirect |
| 51. C71 | #482 | semidirect |
| 56. #106 | D71 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14556103 | 2 |
| #14556086 | 2 |
| #14556061 | 2 |
| #14556050 | 2 |
| #14556048 | 2 |
| (C2×D71)⋊C8 | 2 |
| #106×C71 | 2 |
| #482 | 71 |