Finite Group DatabasebetaFinite Group DatabasebetaOrder 2176.
504 conjugacy classes of subgroups; only the 70 normal subgroups are shown.
This group has 504 conjugacy classes of subgroups — too many to draw. Only its 70 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. #11763687 | C2 | semidirect |
| 5. C22×C4×D17 | C4 | semidirect |
| 8. C2×C22⋊C4×C17 | C4 | semidirect |
| 9. C2×C22⋊Dic17 | C4 | semidirect |
| 85. C2×C22⋊C4 | #595 | semidirect |
| 86. C17 | #1819 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11763750 | 2 |
| #11763687 | 2 |
| C2×C22⋊C4×D17 | 2 |
| #1819 | 17 |