Finite Group DatabasebetaFinite Group DatabasebetaOrder 18688.
382 conjugacy classes of subgroups; only the 79 normal subgroups are shown.
This group has 382 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. #22608275 | C2 | semidirect |
| 3. #22607960 | C2 | semidirect |
| 5. C73×#1801 | C2 | semidirect |
| 173. #1801 | D73 | semidirect |
| 177. C73 | #11833 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #22615791 | 2 |
| #22608275 | 2 |
| #22607960 | 2 |
| #22607933 | 2 |
| C73×#1801 | 2 |
| #11833 | 73 |