Finite Group DatabasebetaFinite Group DatabasebetaOrder 18688.
380 conjugacy classes of subgroups; only the 93 normal subgroups are shown.
This group has 380 conjugacy classes of subgroups — too many to draw. Only its 93 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 |
|---|---|---|
| 2. #22610085 | C2 | semidirect |
| 3. #22608717 | C2 | semidirect |
| 6. #22607782 | C2 | semidirect |
| 7. C73×#1300 | C2 | semidirect |
| 185. #1300 | D73 | semidirect |
| 187. C73 | #8876 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #22619072 | 2 |
| #22610085 | 2 |
| #22608717 | 2 |
| #22608415 | 2 |
| #22608345 | 2 |
| #22607782 | 2 |
| C73×#1300 | 2 |
| #8876 | 73 |