Finite Group DatabasebetaFinite Group DatabasebetaOrder 2176.
316 conjugacy classes of subgroups; only the 68 normal subgroups are shown.
This group has 316 conjugacy classes of subgroups — too many to draw. Only its 68 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. D17⋊#108 | C2 | semidirect |
| 2. #11763801 | C2 | semidirect |
| 3. D17⋊#100 | C2 | semidirect |
| 4. #11763772 | C2 | semidirect |
| 10. C2×D8×C17 | C4 | semidirect |
| 11. C2×#63228 | C4 | semidirect |
| 16. C2×D136 | C4 | semidirect |
| 113. C2×D8 | #595 | semidirect |
| 124. C17 | #1978 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| D17⋊#108 | 2 |
| #11763801 | 2 |
| D17⋊#100 | 2 |
| #11763772 | 2 |
| C2×D8×D17 | 2 |
| #1978 | 17 |