Finite Group DatabasebetaFinite Group DatabasebetaOrder 18688.
418 conjugacy classes of subgroups; only the 79 normal subgroups are shown.
This group has 418 conjugacy classes of subgroups — too many to draw. Only its 79 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. #22610014 | C2 | semidirect |
| 3. #22607962 | C2 | semidirect |
| 4. #22607935 | C2 | semidirect |
| 5. C73×#1458 | C2 | semidirect |
| 180. #1458 | D73 | semidirect |
| 183. C73 | #11851 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #22615618 | 2 |
| #22610014 | 2 |
| #22607962 | 2 |
| #22607935 | 2 |
| C73×#1458 | 2 |
| #11851 | 73 |