Finite Group DatabasebetaFinite Group DatabasebetaOrder 2176.
282 conjugacy classes of subgroups; only the 95 normal subgroups are shown.
This group has 282 conjugacy classes of subgroups — too many to draw. Only its 95 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 |
|---|---|---|
| 35. C2×C8×C17 | Q8 | semidirect |
| 39. C4⋊C4×C17 | Q8 | semidirect |
| 50. C2×#3622 | Q8 | semidirect |
| 126. C17 | #2057 | semidirect |
| 142. C2×C8 | Dic34 | semidirect |
| 151. C4⋊C4 | Dic34 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#10587574 | 2 |
| C2×#10587489 | 2 |
| C2×#10587478 | 2 |
| #11762708 | 2 |
| #11762571 | 2 |
| #11762563 | 2 |
| C17×#340 | 2 |
| #2057 | 17 |