Finite Group DatabasebetaFinite Group DatabasebetaOrder 2176.
296 conjugacy classes of subgroups; only the 90 normal subgroups are shown.
This group has 296 conjugacy classes of subgroups — too many to draw. Only its 90 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 |
|---|---|---|
| 15. #10587545 | C4 | semidirect |
| 18. C17×#101 | C4 | semidirect |
| 19. #10587507 | C4 | semidirect |
| 20. #10587495 | C4 | semidirect |
| 75. #595 | #101 | direct (N × H) |
| 102. #101 | #595 | direct (N × H) |
| 105. C17 | C4×#101 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×Q8×#595 | 2 |
| D17⋊#101 | 2 |
| M16×#595 | 2 |
| #11763688 | 2 |
| #101×D17 | 2 |
| C4×#101 | 17 |