Finite Group DatabasebetaFinite Group DatabasebetaOrder 2176.
198 conjugacy classes of subgroups; only the 61 normal subgroups are shown.
This group has 198 conjugacy classes of subgroups — too many to draw. Only its 61 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×#10587479 | C2 | semidirect |
| 5. #11762577 | C2 | semidirect |
| 6. #11762573 | C2 | semidirect |
| 7. C17×#343 | C2 | semidirect |
| 94. #343 | D17 | semidirect |
| 115. C17 | #2079 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#10587479 | 2 |
| #11762811 | 2 |
| #11762808 | 2 |
| #11762777 | 2 |
| #11762577 | 2 |
| #11762573 | 2 |
| C17×#343 | 2 |
| #2079 | 17 |