Finite Group DatabasebetaFinite Group DatabasebetaOrder 2176.
200 conjugacy classes of subgroups; only the 103 normal subgroups are shown.
This group has 200 conjugacy classes of subgroups — too many to draw. Only its 103 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 |
|---|---|---|
| 2. #11763904 | C2 | direct (N × H) |
| 6. C2×#63241 | C4 | semidirect |
| 7. #10587665 | C4 | semidirect |
| 20. #63241 | C2×C4 | semidirect |
| 51. C2×C17 | #346 | semidirect |
| 53. D17 | #346 | semidirect |
| 63. C17 | C2×#346 | semidirect |
| 101. C2 | #11763904 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#10587665 | 2 |
| #11763904 | 2 |
| C2×C8×#595 | 2 |
| C2×#346 | 17 |