Finite Group DatabasebetaFinite Group DatabasebetaOrder 2176.
228 conjugacy classes of subgroups; only the 58 normal subgroups are shown.
This group has 228 conjugacy classes of subgroups — too many to draw. Only its 58 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 |
|---|---|---|
| 6. C22×#3624 | C4 | semidirect |
| 12. C17×C22⋊C8 | C4 | semidirect |
| 13. C22⋊#3622 | C4 | semidirect |
| 25. C22⋊#595 | C8 | semidirect |
| 93. C22⋊C8 | #595 | semidirect |
| 95. C17 | #1282 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#10587543 | 2 |
| C4×C22⋊#595 | 2 |
| C22⋊C8×D17 | 2 |
| #1282 | 17 |