Finite Group DatabasebetaFinite Group DatabasebetaOrder 2176.
300 conjugacy classes of subgroups; only the 98 normal subgroups are shown.
This group has 300 conjugacy classes of subgroups — too many to draw. Only its 98 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. C17×C4⋊Q8 | C4 | semidirect |
| 15. #10587574 | C4 | semidirect |
| 17. #10587555 | C4 | semidirect |
| 35. #63242 | Q8 | semidirect |
| 104. C4⋊Q8 | #595 | semidirect |
| 113. C17 | #1990 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C4×#63242 | 2 |
| #11763755 | 2 |
| #11763682 | 2 |
| C4⋊Q8×D17 | 2 |
| #1990 | 17 |