Finite Group DatabasebetaFinite Group DatabasebetaOrder 17792.
260 conjugacy classes of subgroups; only the 99 normal subgroups are shown.
This group has 260 conjugacy classes of subgroups — too many to draw. Only its 99 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 |
|---|---|---|
| 10. #17984833 | C4 | semidirect |
| 99. C139 | #1989 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#17984833 | 2 |
| C2×Dic139⋊C8 | 2 |
| C4⋊C4×Dic139 | 2 |
| #22580716 | 2 |
| #22580715 | 2 |
| #340×C139 | 2 |
| #1989 | 139 |