Finite Group DatabasebetaFinite Group DatabasebetaOrder 18688.
418 conjugacy classes of subgroups; only the 200 normal subgroups are shown.
This group has 418 conjugacy classes of subgroups — too many to draw. Only its 200 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 |
|---|---|---|
| 6. #17989480 | C4 | semidirect |
| 7. #17989479 | C4 | semidirect |
| 8. #17989476 | C4 | semidirect |
| 9. #17989473 | C4 | semidirect |
| 35. #11924031 | C42 | semidirect |
| 89. Dic73 | #347 | semidirect |
| 99. C73 | C4×#347 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#17989480 | 2 |
| C2×#17989479 | 2 |
| #22626137 | 2 |
| #97×Dic73 | 2 |
| C4×#347 | 73 |