Finite Group DatabasebetaFinite Group DatabasebetaOrder 17792.
152 conjugacy classes of subgroups; only the 63 normal subgroups are shown.
This group has 152 conjugacy classes of subgroups — too many to draw. Only its 63 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 |
|---|---|---|
| 50. C139⋊C8 | Q16 | semidirect |
| 71. C139 | #1584 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #22581080 | 2 |
| #22581077 | 2 |
| C4×Dic556 | 2 |
| #22580683 | 2 |
| #22580675 | 2 |
| #335×C139 | 2 |
| #1584 | 139 |