Finite Group DatabasebetaFinite Group DatabasebetaOrder 17536.
296 conjugacy classes of subgroups; only the 94 normal subgroups are shown.
This group has 296 conjugacy classes of subgroups — too many to draw. Only its 94 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. #17984149 | C4 | semidirect |
| 72. Dic137 | #101 | semidirect |
| 79. C137 | C4×#101 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#17984149 | 2 |
| C4×#14555519 | 2 |
| #22578283 | 2 |
| C2×#17984053 | 2 |
| C4×#101 | 137 |