Finite Group DatabasebetaFinite Group DatabasebetaOrder 2176.
208 conjugacy classes of subgroups; only the 69 normal subgroups are shown.
This group has 208 conjugacy classes of subgroups — too many to draw. Only its 69 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 |
|---|---|---|
| 10. C4⋊#3633 | C4 | semidirect |
| 12. C4×#3633 | C4 | semidirect |
| 27. C4⋊#595 | C8 | semidirect |
| 34. C4⋊C4×C17 | C8 | semidirect |
| 35. C4⋊Dic17 | C8 | semidirect |
| 105. C17 | #1279 | semidirect |
| 121. C4⋊C4 | #3633 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×C4⋊#3633 | 2 |
| C2×C4×#3633 | 2 |
| C4⋊C4×#595 | 2 |
| #1279 | 17 |