Finite Group DatabasebetaFinite Group DatabasebetaOrder 2176.
528 conjugacy classes of subgroups; only the 206 normal subgroups are shown.
This group has 528 conjugacy classes of subgroups — too many to draw. Only its 206 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 |
|---|---|---|
| 2. #11763675 | C2 | semidirect |
| 9. C2×#63242 | C4 | semidirect |
| 21. C2×C4×D17 | C8 | semidirect |
| 28. C2×#3624 | C2×C4 | semidirect |
| 44. C2×C4×C17 | C2×C8 | semidirect |
| 47. C2×Dic17 | C2×C8 | semidirect |
| 80. D17 | #336 | semidirect |
| 91. C17 | C2×#336 | semidirect |
| 129. C2×C4 | #63242 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×#63242 | 2 |
| #11763675 | 2 |
| C2×C42×D17 | 2 |
| C2×#336 | 17 |