Finite Group DatabasebetaFinite Group DatabasebetaOrder 18688.
336 conjugacy classes of subgroups; only the 50 normal subgroups are shown.
This group has 336 conjugacy classes of subgroups — too many to draw. Only its 50 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 |
|---|---|---|
| 5. #17989492 | C4 | semidirect |
| 8. #17988453 | C4 | semidirect |
| 9. C2×#97×C73 | C4 | semidirect |
| 97. C73 | #7504 | semidirect |
| 101. C2×#97 | #64408 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#17989492 | 2 |
| #22610755 | 2 |
| #7504 | 73 |