Finite Group DatabasebetaFinite Group DatabasebetaOrder 18688.
470 conjugacy classes of subgroups; only the 83 normal subgroups are shown.
This group has 470 conjugacy classes of subgroups — too many to draw. Only its 83 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. C4×#14556508 | C2 | semidirect |
| 3. #22607959 | C2 | semidirect |
| 4. #22607935 | C2 | semidirect |
| 5. C73×#1459 | C2 | semidirect |
| 195. #1459 | D73 | semidirect |
| 198. C73 | #11737 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #22615815 | 2 |
| C4×#14556508 | 2 |
| #22607959 | 2 |
| #22607935 | 2 |
| C73×#1459 | 2 |
| #11737 | 73 |