Finite Group DatabasebetaFinite Group DatabasebetaOrder 2176.
150 conjugacy classes of subgroups; only the 50 normal subgroups are shown.
This group has 150 conjugacy classes of subgroups — too many to draw. Only its 50 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 |
|---|---|---|
| 12. C17×Q32 | C4 | semidirect |
| 13. #10587500 | C4 | semidirect |
| 14. Dic136 | C4 | semidirect |
| 44. #595 | Q32 | direct (N × H) |
| 61. Q32 | #595 | direct (N × H) |
| 67. C17 | C4×Q32 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| Q16×#595 | 2 |
| #11763735 | 2 |
| #11763722 | 2 |
| C16×#595 | 2 |
| Q32×D17 | 2 |
| C4×Q32 | 17 |