Finite Group DatabasebetaFinite Group DatabasebetaOrder 18688.
1426 conjugacy classes of subgroups; only the 180 normal subgroups are shown.
This group has 1426 conjugacy classes of subgroups — too many to draw. Only its 180 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 |
|---|---|---|
| 10. C22×C4⋊Dic73 | C4 | semidirect |
| 11. C22×#11924007 | C4 | semidirect |
| 13. C23×Q8×C73 | C4 | semidirect |
| 18. C2×C22⋊#64408 | Q8 | semidirect |
| 153. C73 | #11381 | semidirect |
| 154. C23×Q8 | #64408 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#17989465 | 2 |
| #22625105 | 2 |
| C22×#14556567 | 2 |
| #11381 | 73 |