Finite Group DatabasebetaFinite Group DatabasebetaOrder 2176.
356 conjugacy classes of subgroups; only the 109 normal subgroups are shown.
This group has 356 conjugacy classes of subgroups — too many to draw. Only its 109 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 |
|---|---|---|
| 3. #11762675 | C2 | semidirect |
| 4. #11762572 | C2 | semidirect |
| 5. C2×C17×C4⋊C8 | C2 | semidirect |
| 14. C4×D68 | C4 | semidirect |
| 90. C2×C4⋊C8 | D17 | semidirect |
| 113. C17 | #1804 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×C4×D68 | 2 |
| C2×#10587492 | 2 |
| #11762675 | 2 |
| #11762572 | 2 |
| C2×C17×C4⋊C8 | 2 |
| #1804 | 17 |