Finite Group DatabasebetaFinite Group DatabasebetaOrder 18688.
790 conjugacy classes of subgroups; only the 187 normal subgroups are shown.
This group has 790 conjugacy classes of subgroups — too many to draw. Only its 187 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 |
|---|---|---|
| 31. #14556498 | C8 | semidirect |
| 32. #95×C73 | C8 | semidirect |
| 136. C73 | #11298 | semidirect |
| 165. #95 | #10596842 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×(C2×#10596842)⋊C4 | 2 |
| #95×#64408 | 2 |
| #11298 | 73 |