Finite Group DatabasebetaFinite Group DatabasebetaOrder 2176.
232 conjugacy classes of subgroups; only the 44 normal subgroups are shown.
This group has 232 conjugacy classes of subgroups — too many to draw. Only its 44 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 |
|---|---|---|
| 5. C2×C42×C17 | C4 | semidirect |
| 7. C2×C4⋊Dic17 | C4 | semidirect |
| 9. #10587539 | C4 | semidirect |
| 78. C2×C42 | #595 | semidirect |
| 81. C17 | #1393 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#10587539 | 2 |
| #11762711 | 2 |
| #1393 | 17 |