Finite Group DatabasebetaFinite Group DatabasebetaOrder 18688.
234 conjugacy classes of subgroups; only the 66 normal subgroups are shown.
This group has 234 conjugacy classes of subgroups — too many to draw. Only its 66 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. #17989508 | C4 | semidirect |
| 12. #17988340 | C4 | semidirect |
| 14. #335×C73 | C4 | semidirect |
| 94. C73 | #7299 | semidirect |
| 104. #335 | #64408 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #22626290 | 2 |
| C4×#14556659 | 2 |
| #22608693 | 2 |
| #7299 | 73 |