Finite Group DatabasebetaFinite Group DatabasebetaOrder 18688.
424 conjugacy classes of subgroups; only the 55 normal subgroups are shown.
This group has 424 conjugacy classes of subgroups — too many to draw. Only its 55 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 |
|---|---|---|
| 1. #22614657 | C2 | semidirect |
| 4. #22607953 | C2 | semidirect |
| 5. #22607931 | C2 | semidirect |
| 6. #22607878 | C2 | semidirect |
| 203. C73 | #12134 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #22614657 | 2 |
| #22611179 | 2 |
| #22608883 | 2 |
| #22607953 | 2 |
| #22607931 | 2 |
| #22607878 | 2 |
| C73×#1607 | 2 |
| #12134 | 73 |