Finite Group DatabasebetaFinite Group DatabasebetaOrder 18688.
548 conjugacy classes of subgroups; only the 92 normal subgroups are shown.
This group has 548 conjugacy classes of subgroups — too many to draw. Only its 92 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. D73⋊#430 | C2 | semidirect |
| 2. D73⋊#361 | C2 | semidirect |
| 3. #22626165 | C2 | semidirect |
| 4. #22624995 | C2 | semidirect |
| 38. #14556661 | D4 | semidirect |
| 213. C73 | #13010 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| D73⋊#430 | 2 |
| D73⋊#361 | 2 |
| #22626165 | 2 |
| #22624995 | 2 |
| #469×D73 | 2 |
| #13010 | 73 |