Finite Group DatabasebetaFinite Group DatabasebetaOrder 2176.
260 conjugacy classes of subgroups; only the 74 normal subgroups are shown.
This group has 260 conjugacy classes of subgroups — too many to draw. Only its 74 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 |
|---|---|---|
| 8. C17×C4⋊Q8 | C4 | semidirect |
| 13. #10587576 | C4 | semidirect |
| 16. #10587555 | C4 | semidirect |
| 30. #63243 | Q8 | semidirect |
| 88. C4⋊Q8 | #595 | semidirect |
| 101. C17 | #1986 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C4×#63243 | 2 |
| C4×C4⋊#595 | 2 |
| #11763679 | 2 |
| #11763364 | 2 |
| #1986 | 17 |