Finite Group DatabasebetaFinite Group DatabasebetaOrder 18688.
1318 conjugacy classes of subgroups; only the 196 normal subgroups are shown.
This group has 1318 conjugacy classes of subgroups — too many to draw. Only its 196 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 |
|---|---|---|
| 2. #22624769 | C2 | semidirect |
| 6. #17989558 | C4 | semidirect |
| 21. C22⋊#10596833 | C2×C4 | semidirect |
| 59. C22×Dic73 | M16 | semidirect |
| 90. C22×C4×C73 | M16 | semidirect |
| 195. C73 | #7909 | semidirect |
| 279. C22×C4 | #11924038 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#17989558 | 2 |
| #22624769 | 2 |
| C2×#95×D73 | 2 |
| #7909 | 73 |