Finite Group DatabasebetaFinite Group DatabasebetaOrder 17152.
222 conjugacy classes of subgroups; only the 83 normal subgroups are shown.
This group has 222 conjugacy classes of subgroups — too many to draw. Only its 83 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. Dic536 | C8 | semidirect |
| 74. C67 | #12044 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C4×Dic536 | 2 |
| #22559015 | 2 |
| #22558172 | 2 |
| #22558125 | 2 |
| C67×#1372 | 2 |
| #12044 | 67 |