Finite Group DatabasebetaFinite Group DatabasebetaOrder 2176.
228 conjugacy classes of subgroups; only the 81 normal subgroups are shown.
This group has 228 conjugacy classes of subgroups — too many to draw. Only its 81 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. C17×C4⋊Q8 | C4 | semidirect |
| 6. C17×C4⋊Q8 | C4 | semidirect |
| 11. C4×Q8×C17 | C4 | semidirect |
| 80. C4⋊Q8 | Dic17 | semidirect |
| 81. C4⋊Q8 | Dic17 | semidirect |
| 86. C4×Q8 | Dic17 | semidirect |
| 95. C17 | #1506 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11762866 | 2 |
| #11762655 | 2 |
| #11762546 | 2 |
| C17×#533 | 2 |
| #1506 | 17 |