Finite Group DatabasebetaFinite Group DatabasebetaOrder 2176.
420 conjugacy classes of subgroups; only the 130 normal subgroups are shown.
This group has 420 conjugacy classes of subgroups — too many to draw. Only its 130 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 |
|---|---|---|
| 7. #10587677 | C4 | semidirect |
| 10. C2×C42×C17 | C4 | semidirect |
| 12. C2×#63225 | C4 | semidirect |
| 13. C2×C4×Dic17 | C4 | semidirect |
| 97. C2×C42 | #595 | semidirect |
| 98. C17 | #1740 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#10587677 | 2 |
| #11763687 | 2 |
| C2×#10587558 | 2 |
| #1740 | 17 |