Finite Group DatabasebetaFinite Group DatabasebetaOrder 18688.
298 conjugacy classes of subgroups; only the 152 normal subgroups are shown.
This group has 298 conjugacy classes of subgroups — too many to draw. Only its 152 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 |
|---|---|---|
| 3. #22624849 | C2 | semidirect |
| 17. #14556665 | C8 | semidirect |
| 34. #11924031 | C2×C8 | semidirect |
| 89. C73 | #11404 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C4×#14556665 | 2 |
| #22624849 | 2 |
| C2×#17988309 | 2 |
| #11404 | 73 |