Finite Group DatabasebetaFinite Group DatabasebetaOrder 18688.
366 conjugacy classes of subgroups; only the 151 normal subgroups are shown.
This group has 366 conjugacy classes of subgroups — too many to draw. Only its 151 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 |
|---|---|---|
| 11. #17988339 | C4 | semidirect |
| 12. #17988337 | C4 | semidirect |
| 91. C73 | #8269 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C4×#14556502 | 2 |
| #22608677 | 2 |
| #22608224 | 2 |
| #22607764 | 2 |
| C73×#1276 | 2 |
| #8269 | 73 |