Finite Group DatabasebetaFinite Group DatabasebetaOrder 2176.
308 conjugacy classes of subgroups; only the 94 normal subgroups are shown.
This group has 308 conjugacy classes of subgroups — too many to draw. Only its 94 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 |
|---|---|---|
| 11. C4×Q8×C17 | C4 | semidirect |
| 12. Q8×Dic17 | C4 | semidirect |
| 16. #10587573 | C4 | semidirect |
| 20. C4×Dic34 | C4 | semidirect |
| 64. Q8×C17 | C4⋊C4 | semidirect |
| 90. Dic34 | C4⋊C4 | semidirect |
| 104. C4×C17 | #103 | semidirect |
| 110. Dic17 | #103 | semidirect |
| 132. C4×Q8 | #595 | semidirect |
| 143. C17 | #1803 | semidirect |
| 185. Q8 | C4⋊#595 | semidirect |
| 229. C4 | #10587549 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11763810 | 2 |
| C2×#10587549 | 2 |
| #11763755 | 2 |
| #11763682 | 2 |
| C4×Q8×D17 | 2 |
| #1803 | 17 |