Finite Group DatabasebetaFinite Group DatabasebetaOrder 2176.
336 conjugacy classes of subgroups; only the 113 normal subgroups are shown.
This group has 336 conjugacy classes of subgroups — too many to draw. Only its 113 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 |
|---|---|---|
| 1. C2×#10587506 | C2 | semidirect |
| 3. C2×C4×#3622 | C2 | semidirect |
| 4. #11762675 | C2 | semidirect |
| 9. C17×#124 | C4 | semidirect |
| 88. #124 | Dic17 | semidirect |
| 96. C17 | #1958 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#10587506 | 2 |
| C2×#10587503 | 2 |
| C2×C4×#3622 | 2 |
| #11762675 | 2 |
| C2×C17×#124 | 2 |
| #1958 | 17 |