Finite Group DatabasebetaFinite Group DatabasebetaOrder 2176.
248 conjugacy classes of subgroups; only the 71 normal subgroups are shown.
This group has 248 conjugacy classes of subgroups — too many to draw. Only its 71 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 |
|---|---|---|
| 18. C2×Q8×C17 | C8 | semidirect |
| 23. C2×Dic34 | C8 | semidirect |
| 24. C2×Dic34 | C8 | semidirect |
| 83. C17 | #1461 | semidirect |
| 88. C2×Q8 | #3633 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11763922 | 2 |
| #11763895 | 2 |
| C2×Q8×#595 | 2 |
| #1461 | 17 |