Finite Group DatabasebetaFinite Group DatabasebetaOrder 17792.
370 conjugacy classes of subgroups; only the 93 normal subgroups are shown.
This group has 370 conjugacy classes of subgroups — too many to draw. Only its 93 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 |
|---|---|---|
| 80. C2×Dic139 | Q16 | semidirect |
| 118. C139 | #2016 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×Dic556 | 2 |
| C22×#14555775 | 2 |
| C2×#17984840 | 2 |
| C2×#17984765 | 2 |
| #22580858 | 2 |
| #22580707 | 2 |
| C2×#103×C139 | 2 |
| #2016 | 139 |